megan and suzanne each have a plant. they track the growth of their plants for four weeks. whose plant grew…

megan and suzanne each have a plant. they track the growth of their plants for four weeks. whose plant grew at a faster rate, and what was the rate?\nmegans plant\n| week | plant height (in) |\n| ---- | ---- |\n| 1 | 4.5 |\n| 2 | 7 |\n| 3 | 9.5 |\n| 4 | 12 |\nsuzannes plant

megan and suzanne each have a plant. they track the growth of their plants for four weeks. whose plant grew at a faster rate, and what was the rate?\nmegans plant\n| week | plant height (in) |\n| ---- | ---- |\n| 1 | 4.5 |\n| 2 | 7 |\n| 3 | 9.5 |\n| 4 | 12 |\nsuzannes plant

Answer

Answer:

Megan's plant grew at a faster rate. The rate of Megan's plant is 2.5 inches per week and the rate of Suzanne's plant is 2 inches per week.

Explanation:

Step1: Calculate rate for Megan's plant

The rate of change (slope) formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(1,4.5)$ and $(2,7)$ from Megan's plant data. $m_{Megan}=\frac{7 - 4.5}{2 - 1}=\frac{2.5}{1}=2.5$ inches per week.

Step2: Calculate rate for Suzanne's plant

Using the points $(1,5)$ and $(2,7)$ from Suzanne's plant graph. $m_{Suzanne}=\frac{7 - 5}{2 - 1}=\frac{2}{1}=2$ inches per week.

Step3: Compare the rates

Since $2.5>2$, Megan's plant grew at a faster rate.