Question

The ABC Cell Phone Company offers a plan that includes a flat fee of $\backslash (29$per month plus a $\backslash )0.12$charge per minute. Write an equation to find $C$, the total monthly cost for $m$minutes. Then solve the equation for $m=50$.

Short answer

The equation of the total monthly cost (C) is $C=\$0.12m+\$29$and the total cost at $m=50$is $\$35$.

Step-by-step solution

Step 1. Given information.

We have an ABC Cell Phone Company which offers a plan that includes a flat fee of $\$29$per month plus a $\$0.12$charge per minute.

To find an equation, total monthly cost (C) for the $m$minutes and solve the equation for $m=50$.

Step 2. Formation of equation.

ABC Cell Phone Company offers a plan $\$0.12$charge per minute.

ABC Cell Phone Company which offers a plan $\$0.12m$charge for $m$minutes

So, the equation of the total monthly cost (c) for $m$minutes is:

$C=\$0.12m+\$29$…$\left(1\right)$

Step 3. Calculation.

Substitute the value $m=50$in the equation $\left(1\right)$.

$C=\$0.12\times 50+\$29$

$\Rightarrow C=\$6.00+\$29$

$\Rightarrow C=\$35$

Hence, the equation of the total monthly cost (C) is$C=\$0.12m+\$29$and the total cost at $m=50$is $\$35$.