kristin is growing pepper plants in her garden. the table shows the number of pepper plants kristin has for…

kristin is growing pepper plants in her garden. the table shows the number of pepper plants kristin has for the first 2 months.\nwhat is the average rate of change in the number of pepper plants over this period?\n7 plants per month\n12 plants per month\n14 plants per month\n19 plants per month

kristin is growing pepper plants in her garden. the table shows the number of pepper plants kristin has for the first 2 months.\nwhat is the average rate of change in the number of pepper plants over this period?\n7 plants per month\n12 plants per month\n14 plants per month\n19 plants per month

Answer

Explanation:

Step1: Recall the formula for average rate of change

The formula for average rate of change is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $y$ represents the number of plants and $x$ represents the month. Let $x_1 = 1$, $y_1=24$, $x_2 = 2$, $y_2 = 38$.

Step2: Substitute the values into the formula

Substitute the values into the formula: $\frac{y_2 - y_1}{x_2 - x_1}=\frac{38 - 24}{2 - 1}$.

Step3: Calculate the result

First, calculate the numerator: $38-24 = 14$. Then calculate the denominator: $2 - 1=1$. So, $\frac{14}{1}=14$.

Answer:

14 plants per month