Question

ba. Verizon charges a base fee of $20 per month plus an additional chargefor each minute the customer uses. The monthly phone cost, C, can berepresented with the equation C = 20 + a(m), where a is the additionalcharge per minute, and m is the number of minutes used. Which equationcan be utilized to find the number of minutes a customer used if we knowa and C?

Answer 1

Given that Verizon charges a base fee of $20 per month plus an additional charge for each minute the customer uses. The monthly phone cost, C, can be represented with the equation C = 20 + a(m), where a is the additional charge per minute, and m is the number of minutes used.

We have to find the equation that can be utilized to find the number of minutes a customer used if we know a and C.

Now, we have to solve for m:

$\begin{gathered} C=20+am \\ C-20=20+am-20 \\ C-20=am \\ \frac{C-20}{a}=\frac{am}{a} \\ \frac{C-20}{a}=m \end{gathered}$

Thus, option A is correct.

2nd part:

Given that Alicia paid $30 and used 500 minutes.

So, the value of C is 30 and m = 500. So,

$\begin{gathered} C=20+am \\ 30=20+a(500) \\ 30-20=500a \\ 10=500a \\ \frac{10}{500}=a \\ 0.02=a \end{gathered}$

Thus, the additional charge per minute is $0.02 per minute.