Question

Jay earns $50 per week plus $5.25 fro each hour worked in a given week Fred earnings are calculated using the formula p=6.25(x+8) where x is the number of hours Matt worked which statement is true.

a. jay earns 2.75 per hour less than Fred.
b. Fred earns $40 more the jay for 40 hours of work.
c, jay and Fred both earn the same for 40 hours of work in a week

Answer 1

option b.

Explanation:

1. let y represent 1 hours for jay. He gets $50 per week with $5.25 per week. So, he can earn, j = 5.25y + 50 dollars for working y hours.

2. they gave us the formula for matt(aka fred?): p = 6.25 (x+8)... where x must be representing hours as the work is based on how many hours someone works.

3. for option a, we use 1 hour for each formula. wrong

so for jay, j = 5.25(1)+50 = 55.25 dollars

and for matt/ fred, p = 6.25 (1+8) = 56.25 dollars

(56.25 - 55.25) = 1 dollars which makes the option incorrect.

4. for option b, we use 40 hours for each formula. correct

so for jay, j = 5.25(40) +50 = 260 dollars

and for matt/ fred, p = 6.25 (40+8) = 300 dollars

(300 - 260) = 40 dollars which makes the option correct.

5. for option c, we can see its wrong as for 40 hours of work, jay earns $260 and matt/fred earns $300.