Question

1. a student has $400 in savings. each week, she spends $25 on transportation. she will continue spending this amount each week as long as her savings balance remains at least $150. what is the greatest number of weeks the student can spend $25 and still meet this condition?

a. 8 weeks
b. 9 weeks
c. 10 weeks
d. 11 weeks

Explanation:

Step1: Set up inequality

Let $w$ = number of weeks. Savings after $w$ weeks: $400 - 25w \geq 150$

Step2: Isolate the variable term

Subtract 400 from both sides: $-25w \geq 150 - 400$
$ -25w \geq -250$

Step3: Solve for $w$

Divide by -25 (reverse inequality): $w \leq \frac{-250}{-25}$
$w \leq 10$

Answer:

C. 10 weeks