Question

a vendor who sold bread at farmers markets counted the number of leftover loaves at the end of each day. according to the table, what was the rate of change between sunday and thursday? loaves per day

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change (slope) is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $y$ represents the number of leftover loaves and $x$ represents the day. Let Sunday be $x_1 = 0$ (with $y_1=16$) and Thursday be $x_2 = 4$ (since there are 4 days from Sunday to Thursday, with $y_2 = 86$).

Step2: Substitute values into the formula

Substitute $x_1 = 0,y_1 = 16,x_2=4,y_2 = 86$ into $\frac{y_2 - y_1}{x_2 - x_1}$. We get $\frac{86 - 16}{4-0}$.

Step3: Calculate the numerator and denominator

First, calculate the numerator: $86 - 16=70$. The denominator is $4 - 0 = 4$. So the expression becomes $\frac{70}{4}$.

Step4: Simplify the fraction

Simplify $\frac{70}{4}=\frac{35}{2}=17.5$.

Answer:

$17.5$