2.5 Problem Solving Notes
p.96
LT: I can use the distributive property (problem solving.
1.
2.
Your daily workout plan involves a total of 60 minutes of biking and lifting weights. You burn 10 calories per minute when biking and 15 calories per minute when lifting weights.
A.
How many calories do you burn if you bike for 25 minutes?
B.
Write an equation that gives how many total calories C you burn as a function of the number of minutes b that you bike. Be sure to simplify your answer.
C.
Use your equation from part (B) to find how many total calories you burn if you bike for 25 minutes.
Your family is taking a vacation for 10 nights. You will spend some nights at a campground and the rest of the nights at a motel. A campground stay costs $15 per night and a motel stay costs $60 per night.
A.
Write an equation that gives the total cost C of lodging as a function of the number of nights you stay at the motel m. Be sure to simplify your answer.
B.
Use your equation from part (A) to find the total cost of lodging if you stay at a motel for 6 nights.
3.
During the summer you work 35 hours per week at the YMCA pool. You get paid $9 per hour for working as a lifeguard and $12.50 per hour for teaching swim lessons.
A.
Write an equation that gives the total amount e you earn in a week as a function of the number of hours t you are teaching swim lessons. Be sure to simplify your answer.
B.
Use your equation from part (A) to find the total amount you earn in a week if you teach swim lessons for 15 hours.
2.5 Problem Solving GP
p.98 (#7)
p.125 (#31)
2.5 problem solving GP answers
p.98 (#7) C = 6r + 405
C = 525 calories for 20 minutes
answers
C = 585 calories for 30 minutes
p.125 (#31) p = 262.50 ­ 1.75t
p = $245
2.5 Problem Solving Practice Answers
50.
s = ­a + 60 ; 58 points
51.
C = 3r ­ 6 ; $5.97
52.
C = 0.10m + 1.50 10 mins then 15 mins costs $5.50 compared to 25 mins cost $4.
53.
s = d(x + y + z)
54.
y = ­15x +700
$475
55.
8
1000
3
3
r = a +