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This table shows the relationship between the diameter of a tire and its cost a Kim’s discount hubcapsWhat is the best prediction of the cost of hubcap with a diameter of 20 inches

This table shows the relationship between the diameter of a tire and its cost a Kim-example-1
User Wxkevin
by
7.8k points

1 Answer

4 votes

Answer:

Concept:

We will have to get the formula connecting the diameter and the cost

Step 1:

We will bring put two coordinates below as


\begin{gathered} (x_1,y_1)\Rightarrow(14,40) \\ (x_2,y_2)\Rightarrow(16,50) \end{gathered}

To figure out the equation of the line, we will use the formula below


(y_2-y_1)/(x_2-x_1)=(y-y_1)/(x-x_1)

By substituting the values, we will have


\begin{gathered} (y_(2)-y_(1))/(x_(2)-x_(1))=(y-y_(1))/(x-x_(1)) \\ (50-40)/(16-14)=(y-40)/(x-14) \\ (10)/(2)=(y-40)/(x-14) \\ y-40=5(x-14) \\ y-40=5x-70 \\ y=5x-70+40 \\ y=5x-30 \end{gathered}

Step 2:

To get the cost of a hubcap with a diameter of 20 inches , we will substitute x=20 in the equation below


\begin{gathered} y=5x-30 \\ y=5(20)-30 \\ y=100-30 \\ y=70 \end{gathered}

Hence,

The final asnwer is


\Rightarrow70

The FIRST OPTION is the right answer

User Zoidbeck
by
8.7k points
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