Question

50 points!! Tiana compares the length of a name on a nameplate to the number of letters in the name. She draws the scatterplot below, and then she plots and determines an equation for the trend line.

Based on the information above, which is the best estimate of the number of letters that a name contains if the nameplate is 6 inches long?
3
4
10
12

Answer 1

I belive it is 3, hope I helped
!

Answer 2

Correct choice is A

Explanation:

Variable x represents the number of letters in the name and variable y represents the length of a name on a nameplate. The function

`y=1.47x+2.05`

determines the relationship between x and y.

When the nameplate is 6 inches long, then y=6 and you can find x:

`6=1.47x+2.05,\\ \\1.47x=6-2.05,\\ \\1.47x=3.95,\\ \\x\approx 2.69.`

Since the number of letters that a name contains should be a whole number, then

`x\approx 3\ letters.`