Jake plans to take a summer job at the recreation center as a lifeguard. he can be paid according to two different plans. plan a: $300 per week plan b: $150 per week plus $6.25 per hour how many hours will jake have to work to make more money with plan b then plan a? 9. write an inequality. let x represent the number of hours jake works.10. solve the inequality. i know the answer which is 25 hours because if he worked 24 hours he would make the same as plan a provides. my problem is i don’t know how to show my work. can anyone ?

Payment on Plan A = $300

x is the number of hours Jake works.

Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)

                               = $150 + $6.25(x)

                               = 150 + 6.25x

Since, the payment on Plan B should be more than Plan A,

150 + 6.25x > 300

6.25x > 300 - 150

6.25x > 150

x > 24

The minimum vale for x which satisfies this inequality is 25.

Hence, x = 25.

6.25 grams

step-by-step explanation:

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions