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.

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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 = b 2.) 2(r + 4) – 2 = (12r + 18) 3.) Tues, 9/4

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 = 24 Area = 336 u 2 x – 3 16 x 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 Equations Selecting 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 m = m 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 m = m Final complete sentence: The costs for the two phone companies will be the same with 800 minutes of talking.

Education Pays Off The 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 Equations Selecting 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 = m Final complete sentence: The costs for the two rentals will be the same with 720 miles of driving.

Education Pays Off The 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.