swbat… apply equations to word problems agenda 1. warm-up (15 min) 2. review hw#9 (15 min) 3. 2...
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SWBAT… apply equations to word problems
Agenda
1. Warm-up (15 min)
2. Review HW#9 (15 min)
3. 2 application problems (20 min)
Warm-Up:
1.) -6b + 1 = -3 + 2b
2.) 2(r + 4) – 2 = (12r + 18)
3.)
Tues, 9/4
3
2
yy 2
55
4
a.) Set up and solve an equation to find the value of x so that the two rectangles have the same area. b.) Find the area of each figure.
14(x) = 16(x – 3) x = 24Area = 336 u2
x – 3
16x
14
David currently has a square garden. He wants to redesign his garden and makes it into a rectangle with a length that is 3 feet shorter than twice its width. He decides that the perimeter should be 60 feet.
Determine the dimensions, in feet, of his new garden. Write and solve an equation.
Let w = width
Length = 2w – 3
Applications of Linear EquationsSelecting a Rental Car
Hertz Car rental agency charges $4 a day plus $0.15 per mile, whereas Avis rental agency charges $20 a day and $0.05 per mile.
For how many miles of driving in a day will the costs for the two rentals be the same?
m = number of miles driven
4 + 0.15m = 20 + 0.05m
Final complete sentence: The costs for the two rentals will be the same with 160 miles of driving.
Selecting a Wireless Phone Company
Verizon Wireless charges $40 a month plus $0.10 per minute, whereas AT&T charges $80 a month plus $0.05 per minute. For how many minutes of talking in a month will the costs for the two wireless phone companies be the same?
m = number of minutes
40 + 0.10m = 80 + 0.05m
Final complete sentence: The costs for the two phone companies will be the same with 800 minutes of talking.
Education Pays OffThe average yearly salary of a man with an associate degree exceeds that of a man with some college by $4 thousand.
The average yearly salary of a man with a bachelor’s degree or more exceeds that of a man with some college by $40 thousand.
Combined, the three men with each of these educational attainments earn $191 thousand.
Find the average yearly salary of men with each of these levels of education.
s = the average yearly salary of a man with some college degree (in thousands)
s + (s + 4) + (s + 40) = 191
Final complete sentence: Men with some college average $49,000 per year, men with associate degrees average $53,000 per year and men with bachelor’s degrees or more average $89,000 per year.
Applications of Linear EquationsSelecting a Rental Car
A car can be rented from Avis for $260 per week with no extra charge for mileage.
Hertz charges $80 per week plus 25 cents for each mile driven to rent the same car.
For how many miles of driving in a week will the costs for the two rentals be the same?
m = number of miles driven
260 = 80 + 0.25m
Final complete sentence: The costs for the two rentals will be the same with 720 miles of driving.
Education Pays OffThe average yearly salary of a woman with an associate degree exceeds that of a woman with some college by $4 thousand.
The average yearly salary of a woman with a bachelor’s degree or more exceeds that of a woman with some college by $21 thousand.
Combined, the three women with each of these educational attainments earn $136 thousand.
Find the average yearly salary of women with each of these levels of education.
s = the average yearly salary of a woman with some college degree (in thousands)
s + (s + 4) + (s + 21) = 136
Final complete sentence: Women with some college average $37,000 per year, women with associate degrees average $41,000 per year and women with bachelor’s degrees or more average $58,000 per year.