Q15. - Algebra 1

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 $m=50$.

Step-by-Step Solution

Answer

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

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 $\$35$.