Question

A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below.

A customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate?
A. 9
B. 10
C. 12
D. 39

Answer 1

C. 12

Explanation:

Answer 2

C. 12

Step-by-step explanation:

We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).

The given equation is:
`y=1.75x+0.5`

To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.

`22=1.75x+0.5`

`22-0.5=1.75x+0.5-0.5`

`21.5=1.75x`

`x=(21.5)/(1.75)`

`x=12.2857142857142857\approx 12`

Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.