Create the required linear function an use it to answer the question.
-Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies
With age. Use the equation to predict the height at age 2 and 41.
A) $h = 22 + 6.4 a$; 26 inches; $284.4$ inches
B) $h = 22 + 2 a$; 26 inches; 104 inches
C) $h = 22 + 10.6 a ; 34.4$ inches; $456.6$ inches
D) $h = 22 - 2 a$; 18 inches; $- 60$ inches

Question

Create the required linear function an use it to answer the question.
-Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies
With age. Use the equation to predict the height at age 2 and 41. 
A) $h = 22 + 6.4 a$; 26 inches; $284.4$ inches
B) $h = 22 + 2 a$; 26 inches; 104 inches
C) $h = 22 + 10.6 a ; 34.4$ inches; $456.6$ inches
D) $h = 22 - 2 a$; 18 inches; $- 60$ inches

Quizplus · Accepted Answer

First, convert the height at age 10 from feet to inches: 3.5 feet = 42 inches. The change in height from birth to age 10 (22 inches to 42 inches) is 20 inches over 10 years, so the rate of change is 20 inches / 10 years = 2 inches per year. The linear equation is $h = 22 + 2a$, where $h$ is the height in inches and $a$ is the age in years. At age 2, $h = 22 + 2(2) = 26$ inches. At age 41, $h = 22 + 2(41) = 104$ inches.

Create the Required Linear Function an Use It to Answer h=22+6.4ah = 22 + 6.4 ah=22+6.4a

Create the Required Linear Function an Use It to Answer $h = 22 + 6.4 a$