Question

select the correct answer.
john studied for 22.5 hours over a period of 3.5 days. on average, about how many hours did he study each day?
a. 4.6 hours
b. 5.9 hours
c. 6.4 hours
d. 7.3 hours

Explanation:

Step1: Identify the formula for average

To find the average number of hours studied per day, we use the formula for average: $\text{Average} = \frac{\text{Total hours}}{\text{Total days}}$.

Step2: Substitute the given values

Here, the total hours is $22.5$ and the total days is $3.5$. So we calculate $\frac{22.5}{3.5}$.

Step3: Perform the division

$22.5\div3.5=\frac{225}{35}=\frac{45}{7}\approx6.4286$. Rounding to one decimal place, we get approximately $6.4$ hours. Wait, no, wait: Wait, $22.5\div3.5 = 6.428...$? Wait, no, $3.5\times6 = 21$, $3.5\times6.4 = 3.5\times6 + 3.5\times0.4 = 21 + 1.4 = 22.4$, which is close to $22.5$. Wait, but let's recalculate: $22.5\div3.5$. Let's multiply numerator and denominator by 2 to eliminate decimals: $\frac{45}{7}\approx6.428$, which is approximately $6.4$? Wait, but the options: A is 4.6, B is 5.9, C is 6.4, D is 7.3. So $22.5\div3.5\approx6.428$, so the closest is C. 6.4 hours.

Wait, maybe I made a mistake earlier. Let's do the division properly: $3.5\times6 = 21$, $22.5 - 21 = 1.5$, so $1.5\div3.5 = \frac{3}{7}\approx0.428$, so total is $6 + 0.428\approx6.428$, so approximately 6.4, which is option C.

Answer:

C. 6.4 hours