Question

length (in.) 14 12 10 8 6 4 2 y = 1.47x + 2.05 1 2 3 4 5 6 7 8 9 . x letters 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

Explanation:

Step1: Substitute y=6 into the equation

$6 = 1.47x + 2.05$

Step2: Isolate the term with x

$1.47x = 6 - 2.05$
$1.47x = 3.95$

Step3: Solve for x

$x = \frac{3.95}{1.47} \approx 2.69$

Step4: Round to nearest whole number

Since we count whole letters, round 2.69 up to 3.

Answer:

3