Question

To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving 285?

MemberA:Works8hoursperweekat6.15 per hour
Member B: Works 10 hours per week at 5.85perhour
MemberC:Works7hoursperweekat7.25 per hour
Member D: Works 9 hours per week at $6.35 per hour

a. A and B
b. A and C
c. B and C
d. B and D

Answer 1

Letter d

Step-by-step explanation:

Set up an equation

Variables

x = hours per week

y = income per hour

285 = 5(xy)

Answer 2

Letter d

Explanation:

Set up an equation

Variables

x = hours per week

y = income per hour

285 = 5(xy)

Plug in the variables (Trial and error)

Member A: 285 = 5(8*6.15)

285 = 5(49.2)

285 = 246

285 > 246

Member A will not reach their goal

Member B: 285 = 5(10*5.85)

285 = 5(58.5)

285 = 292.5

285 < 292.5

Member B will reach their goal

Member C: 285 = 5(7*7.25)

285 = 5(50.75)

285 = 253.75

285 > 253.75

Member C will not reach their goal

Member D: 285 = 5(9*6.35)

285 = 5(57.15)

285 = 285.75

Member D will reach their goal

So in conclusion: B and D will reach their goal and the answer is letter D

Sorry this took so long, you can probably see why