example 5 Apparent Temperature

Chapter 2.4

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

2009 PBLPathways

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

h

A

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

h

A

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

h

A

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

.479

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

.479

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8 0

41.3 19.8

19.8.479

41.3

h

h

h

41.3 19.8y x

.479

[.479

2009 PBLPathways

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8y x

.479

[.479

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.479h

2009 PBLPathways[ ]

During the summer of 1998, Dallas, Texas, endured 29 consecutive days where the temperature was at least 110◦ F. On many of these days, the combination of heat andhumidity made it feel even hotter than it was. When the temperature is 110◦ F, theapparent temperature A (or heat index) depends on the humidity h (expressed as a decimal) according to

For what humidity levels is the apparent temperature at least 110◦ F? (Source: W. Boschand C. Cobb, “Temperature-Humidity Indices,” UMAP Journal, Fall 1989)

90.2 41.3A h

110 90.2 41.3 110

41.3 19.8 0

A h

h

41.3 19.8y x

.479

.479 1

[.479,1]

.479 1h