Answer:
(a) Equations for both
[tex]y = 500 + 12x[/tex] --- lifeguard
[tex]y = 15x[/tex] --- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
[tex]x \to hours[/tex]
[tex]y \to total\ pay[/tex]
Given
Lifeguard job
[tex]Signing\ bonus = \$500[/tex]
[tex]Rate = \$12/hr[/tex]
Camp counselor job
[tex]Signing\ bonus =\$0[/tex]
[tex]Rate = \$15/hr[/tex]
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
[tex]y = 500 + 12*x[/tex]
[tex]y = 500 + 12x[/tex]
Camp counselor
[tex]y = 0 + 15 * x[/tex]
[tex]y = 15x[/tex]
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
[tex]x = 5hrs/day * 5days[/tex]
[tex]x = 25hrs[/tex]
So, the pay for each is:
[tex]y = 500 + 12x[/tex]
[tex]y =500 + 12*25[/tex]
[tex]y =800[/tex] --- Lifeguard
[tex]y = 15x[/tex]
[tex]y = 15 * 25[/tex]
[tex]y = 375[/tex] --- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
[tex]800 > 375[/tex]
Hence, lifeguard job pays more
