Question

You are planning to work in the summer (13 weeks). You

are deciding between working as a lifeguard or a camp counselor. The lifeguard job
pays $12 per hour and a $500 signing bonus. The camp counselor job pays $15 per
hour with no signing bonus.

Answer 1

(a) Equations for both

`y = 500 + 12x` --- lifeguard

`y = 15x` --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Explanation:

Let

`x \to hours`

`y \to total\ pay`

Given

Lifeguard job

`Signing\ bonus = \$500`

`Rate = \$12/hr`

Camp counselor job

`Signing\ bonus =\$0`

`Rate = \$15/hr`

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

`y = 500 + 12*x`

`y = 500 + 12x`

Camp counselor

`y = 0 + 15 * x`

`y = 15x`

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

`x = 5hrs/day * 5days`

`x = 25hrs`

So, the pay for each is:

`y = 500 + 12x`

`y =500 + 12*25`

`y =800` --- Lifeguard

`y = 15x`

`y = 15 * 25`

`y = 375` --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

`800 > 375`

Hence, lifeguard job pays more