on desk: 1. pencil 2. math journal 3. learning log 4.last night’s hw - ? learning log: 1. hw: msa...

On Desk:1. Pencil2. Math Journal3. Learning Log4.Last night’s HW - ?

Learning Log:1. HW: MSA p. 75, #30, 31, 34, 372. Quiz Thurs. 12/103. Test Thurs. 12/17

Math CC7/8 – Be Prepared

• Last night’s HW – Questions?• Warm Up • Finish 3.5 D-E: Equations & Inequalities• Begin HW?

Tasks for Today

Warm Up

4(x + 4) = 6x + 18 13x + 10 = 9x -22

Solve the equations below and check your solution.

Expenses = Income825 + 3.25n = 8.20n - 3.25n - 3.25n 825 = 4.95n

4.95 4.95 166.67 = n (cakes)

•Does this answer make sense?

•What answer would make more sense?

Fabian’s expenses will equal his income when he sells about 167 cakes. (166 isn’t enough!)

Break-Even Pointor “point of intersection”

• How do you find the break-even point from a table?– Look for when the x and y values for both variables are

equal to each other.

• How do you find the break-even point from a graph?– Look for where the two lines intersect.

• How do you find the break-even point from an equation?– Set the two equations equal to each other and solve.

E < 2,400 825 + 3.25n < 2,400-825 -825 3.25n < 1,575

3.25 3.25 n < 484.6

Fabian needs to make 484 cakes or less to keep the expenses less than $2,400.

I > 2,400 820n > 2,400

820 820 n > 292.7

Fabian needs to make 293 cakes or more to keep the income greater than $2,400.

Yes, these statements make sense. She is simply substituting the income and expense expressions for the variables I and E.