Question

kari has a large family with many cousins. this scatter plot shows the ages and heights of some of her cousins along with the line of best fit. the equation for the line of best fit is y = 8.3x + 66. based on the equation, which of these statements is true? a cousin who is 12 years old would likely be about 166 centimeters tall. a cousin who is 11 years old would likely be about 130 centimeters tall.

Explanation:

Step1: Substitute age into formula

For a 12 - year - old cousin, substitute $x = 12$ into $y=8.3x + 66$. So $y=8.3\times12 + 66$.

Step2: Calculate result

$8.3\times12=99.6$, then $y=99.6 + 66=165.6\approx166$.
For an 11 - year - old cousin, substitute $x = 11$ into $y = 8.3x+66$. So $y=8.3\times11 + 66=91.3+66 = 157.3
eq130$.

Answer:

A cousin who is 12 years old would likely be about 166 centimeters tall.