Question

1. the information for two pay - as - you - go cell phone companies is given.

on call 3.5 hours: $10
talk time $\frac{1}{2}$ hour: $1.25$
a. what is the unit rate in dollars per hour for each company?

Explanation:

Step1: Calculate unit - rate for On Call

To find the unit rate for On Call, divide the cost by the number of hours. The cost is $10 for 3.5 hours. So the unit rate $r_1=\frac{10}{3.5}=\frac{10}{\frac{7}{2}} = 10\times\frac{2}{7}=\frac{20}{7}\approx2.86$ dollars per hour.

Step2: Calculate unit - rate for Talk Time

For Talk Time, the cost is $1.25 for $\frac{1}{2}$ hour. The unit rate $r_2=\frac{1.25}{\frac{1}{2}}=1.25\times2 = 2.5$ dollars per hour.

Answer:

On Call: $\frac{20}{7}\approx2.86$ dollars per hour; Talk Time: $2.5$ dollars per hour