Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150

The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Step-by-step explanation:

step-by-step explanation:

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length