Question

mr. hoffman recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work.
according to the table, when was the rate of change greater?
between march and april

Explanation:

Step1: Calculate rate of change between March and April

The formula for rate of change is $\frac{y_2 - y_1}{x_2 - x_1}$. Let $x_1$ (March) = 3, $y_1$ (gas cost in March) = 67, $x_2$ (April) = 4, $y_2$ (gas cost in April) = 78.
Rate of change $=\frac{78 - 67}{4 - 3}=\frac{11}{1}=11$.

Step2: Calculate rate of change between April and May

Let $x_1$ (April) = 4, $y_1$ (gas cost in April) = 78, $x_2$ (May) = 5, $y_2$ (gas cost in May) = 98.
Rate of change $=\frac{98 - 78}{5 - 4}=\frac{20}{1}=20$.

Step3: Calculate rate of change between May and June

Let $x_1$ (May) = 5, $y_1$ (gas cost in May) = 98, $x_2$ (June) = 6, $y_2$ (gas cost in June) = 100.
Rate of change $=\frac{100 - 98}{6 - 5}=\frac{2}{1}=2$.

Answer:

The rate of change is greater between April and May.