Write a function that represents the data shown below. The number of hours and the total cost are for a technical support phone service that charges by the hour (or any part of an hour). $$\begin{array} { | c | c | }
\hline \text { Hours } & \text { Total Cost } \
\hline 2 & 54 \
\hline 3 & 76 \
\hline 4 & 98 \
\hline 5 & 120 \
\hline
\end{array}$$
A)C(x) = 20x + 14
B)C(x) = 24x
C)C(x) = 27x
D)C(x) = 22x + 10

Question

Write a function that represents the data shown below. The number of hours and the total cost are for a technical support phone service that charges by the hour (or any part of an hour). $$\begin{array} { | c | c | } 
\hline \text { Hours } & \text { Total Cost } \
\hline 2 & 54 \
\hline 3 & 76 \
\hline 4 & 98 \
\hline 5 & 120 \
\hline
\end{array}$$
A)C(x) = 20x + 14
B)C(x) = 24x
C)C(x) = 27x
D)C(x) = 22x + 10

Quizplus · Accepted Answer

The function should represent a linear relationship between the number of hours and the total cost. Looking at the table, we can see that the cost increases by $22 for each additional hour of service. However, there is also a fixed cost of $10 independent of the number of hours used. Therefore, the function should be of the form C(x) = 22x + 10. This corresponds to choice D.

Write a Function That Represents the Data Shown Below A)C(x) = 20x + 14 B)C(x) = 24x C)C(x) =

Write a Function That Represents the Data Shown Below A)C(x) = 20x + 14
B)C(x) = 24x
C)C(x) =