Question

Jordan and Alyssa find out they arereading the same book. Althoughthey will be starting on differentpage numbers, they decide torecord their progress to determinewho is the faster reader. Using theresults shown, answer the questionsbelow.Jordan reads at a rate ofper hour.pagesAlyssa reads at a rate ofper hour.pagesBased on this data,(type A forAlyssa or J for Jordan) reads at a faster ratebypages per hour.Next »

Answer 1

Solution:

Given:

To get the reading rate of Jordan and Alyssa, we find the slope of both from the data given.

For Jordan:

$\begin{gathered} Using\text{ the points }(2,215)\text{ and }(3,260) \\ where; \\ x_1=2,y_1=215 \\ x_2=3,y_2=260 \\ \\ The\text{ formula for calculating slope is;} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{260-215}{3-2} \\ m=\frac{45}{1} \\ m=45\text{ } \\ Therefore,\text{ Jordan's reading rate is 45 pages per hour} \end{gathered}$

Therefore, Jordan reads at a rate of 45 pages per hour.

For Alyssa:

$\begin{gathered} Using\text{ the points }(0,40)\text{ and }(4,240) \\ where; \\ x_1=0,y_1=40 \\ x_2=4,y_2=240 \\ \\ The\text{ formula for calculating slope is;} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{240-40}{4-0} \\ m=\frac{200}{4} \\ m=50 \\ Therefore,\text{ Alyssa's reading rate is 50 pages per hour} \end{gathered}$

Therefore, Alyssa reads at a rate of 50 pages per hour.

Hence, the difference in reading rates of Jordan and Alyssa is;

$50-45=5\text{ pages per hour}$

Therefore,

Based on this data, A reads at a faster rate by 5 pages per hour