Question

kelly reads every day after school. this graph shows how long she spent reading last week. time spent reading graph: number line from 0 to 1, marked at 0, \\(\frac{1}{4}\\), \\(\frac{2}{4}\\), \\(\frac{3}{4}\\), 1, with x’s at \\(\frac{2}{4}\\) (two x’s) and \\(\frac{3}{4}\\) (three x’s) how many hours did kelly read in all? options: \\(2\frac{2}{4}\\) hours, \\(2\frac{3}{4}\\) hours, 3 hours, \\(3\frac{1}{4}\\) hours

Explanation:

Step1: Count readings at each time

At $\frac{2}{4}$ hours: 2 readings. At $\frac{3}{4}$ hours: 3 readings.

Step2: Calculate total time

Total time = $2\times\frac{2}{4} + 3\times\frac{3}{4}$ = $\frac{4}{4} + \frac{9}{4}$ = $\frac{13}{4}$ = $3\frac{1}{4}$? Wait, no, wait: Wait, $\frac{2}{4}$ is $\frac{1}{2}$, 2 times $\frac{1}{2}$ is 1. $\frac{3}{4}$ times 3 is $\frac{9}{4}$ = $2\frac{1}{4}$. Then total is $1 + 2\frac{1}{4}$ = $3\frac{1}{4}$? Wait, no, wait the options: Wait, maybe I miscounted. Wait the graph: x at $\frac{2}{4}$: 2 x's, at $\frac{3}{4}$: 3 x's. So time at $\frac{2}{4}$: 2 days, each $\frac{2}{4}$ hours. Time at $\frac{3}{4}$: 3 days, each $\frac{3}{4}$ hours. So total time: $2\times\frac{2}{4} + 3\times\frac{3}{4}$ = $\frac{4}{4} + \frac{9}{4}$ = $\frac{13}{4}$ = $3\frac{1}{4}$? But wait the options have $3\frac{1}{4}$? Wait no, wait $\frac{2}{4}$ is $\frac{1}{2}$, 2 times $\frac{1}{2}$ is 1. $\frac{3}{4}$ times 3 is $\frac{9}{4}$ = $2\frac{1}{4}$. 1 + $2\frac{1}{4}$ = $3\frac{1}{4}$. Wait but let's check again. Wait $\frac{2}{4}$ is 0.5, 2 times 0.5 is 1. $\frac{3}{4}$ is 0.75, 3 times 0.75 is 2.25. 1 + 2.25 = 3.25, which is $3\frac{1}{4}$. So the answer is $3\frac{1}{4}$ hours.

Answer:

$3\frac{1}{4}$ hours (Option: $3\frac{1}{4}$ hours)