Question

1. you have a choice of two cell phone plans. plan a charges $.60 a phone call. plan b charges $90 a month.

a) write and solve an inequality where you would choose plan a.

b) last month you made 127 phone calls. which plan would you use? how much money would you save by not using the other plan?

Explanation:

Step1: Define variable for calls

Let $x$ = number of monthly calls.

Step2: Set up inequality for Plan A

Plan A cost < Plan B cost:
$0.60x < 90$

Step3: Solve the inequality

Divide both sides by 0.60:
$x < \frac{90}{0.60}$
$x < 150$

Step4: Calculate Plan A cost for 127 calls

Multiply calls by per-call rate:
$0.60 \times 127 = 76.20$

Step5: Compare costs for 127 calls

Plan A: $\$76.20$, Plan B: $\$90$. $\$76.20 < \$90$, so choose Plan A.

Step6: Calculate savings

Subtract Plan A cost from Plan B cost:
$90 - 76.20 = 13.80$

Answer:

a) The inequality is $0.60x < 90$, and the solution is $x < 150$ (choose Plan A when making fewer than 150 calls per month).
b) You would use Plan A. You would save $\$13.80$ by not using Plan B.