Q50. - Algebra 2

Question

For Exercises 49 and 50, use the following information.

Namid is examining the calling card portion of his phoning bill. A 4-minute call at the night rate cost 4.75.

How much would it cost to talk for half an hour at the night rate?

Step-by-Step Solution

Answer

It would cost $\$ 11.75$ to talk for half an hour at the night rate

Step 1 – State the concept

The functional value at a point is obtained by putting the value in the expression of the function.

Step 2 – List the given data

It is given that a 4-minute call at the night rate cost $\$2.65$ and a 10-minute call at the night rate cost $4.75.

Step 3 – Compute the cost

As obtained previously, the linear equation that models the situation is $y=0.35x+1.25$, where $x$ denotes the duration of call, in minutes and $y$ denotes the cost of the call at night rate.

 

Here, the duration of the call is half an hour which is equivalent to 30 minutes.

 

Then, $x=30$.

 

Put $x=30$ in $y=0.35x+1.25$ to get,

$\begin{array}{c}y=0.35\left(30\right)+1.25\\ =10.5+1.25\\ =11.75\end{array}$

This implies that it would cost $11.75 to talk for half an hour at the night rate.