if the price of a gallon in 1940 was $0.18 and $3.10 in 2010,the percentage rate of change for a gallon of gasoline over this period was

$\bf \begin{array}{llll} slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies &\cfrac{2010-1940}{3.10-0.18}\\ &\qquad \uparrow \\ &\textit{rate of change} \end{array}$

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JeanaShupp JeanaShupp · Answer 2 · 2019-06-28T15:32:06-04:00

Answer: About 4.17%

Step-by-step explanation:

Given: The price of a gallon of gasoline in 1940 = $0.18

The price of a gallon of gasoline in 2010 = $3.10

Change in period : $2010-1940=70$

Change in price over the period : $\$3.10-\$0.18=\$2.92$

Now, the percentage rate of change of price for a gallon of gasoline over this period is given by :-

$\dfrac{\text{Change in price over period}}{\text{Change in period}}\times100\\\\\\=\dfrac{2.92}{70}\times100=4.17142857143 \approx4.17\%$

Hence, the percentage rate of change of price for a gallon of gasoline over this period was 4.17 %.