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Priya spends at least 3.5 hours practicing her English each week. If she spends 7 days a week practicing, which of the following best describes
t, the average number of hours she practices each day?
Choose 1 answer:
(A)
t >= 0.5
(B)
t >= 2
(c)
t >= 3.5
(D)
t >= 30

Priya spends at least $3$ . $5$ hours practicing her English each week. If she spends $7$ days a week practicing, which of the following best describes $t$ , the average number of hours she practices each day? $\newline$ Choose $1$ answer: $\newline$ (A) $t \geq 0.5$ $\newline$ (B) $t \geq 2$ $\newline$ (C) $t \geq 3.5$ $\newline$ (D) $t \geq 30$

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Write a linear inequality: word problems

Full solution

Q. Priya spends at least

3

.

5

hours practicing her English each week. If she spends

7

days a week practicing, which of the following best describes

t

, the average number of hours she practices each day?

\newline

Choose

1

answer:

\newline

(A)

t \geq 0.5

\newline

(B)

t \geq 2

\newline

(C)

t \geq 3.5

\newline

(D)

t \geq 30

Calculate Total Hours: Determine the total number of hours Priya practices in a week. $\newline$ Priya practices for at least $3.5$ hours each week.
Determine Days Practiced: Determine the number of days in a week that Priya practices. $\newline$ There are $7$ days in a week.
Calculate Average Hours: Calculate the average number of hours Priya practices each day. $\newline$ To find the average, divide the total hours practiced in a week by the number of days in the week. $\newline$ Average hours per day $= \frac{\text{Total hours per week}}{\text{Number of days in the week}}$ $\newline$ Average hours per day $= \frac{3.5 \text{ hours}}{7 \text{ days}}$
Perform Division: Perform the division to find the average hours per day. Average hours per day = $\frac{3.5 \text{ hours}}{7 \text{ days}} = 0.5 \text{ hours}$
Compare with Inequality: Compare the result with the given options to find the correct inequality. $\newline$ The average number of hours Priya practices each day is $0.5$ hours, so the correct inequality that describes $t$ , the average number of hours she practices each day, is: $\newline$ $t \geq 0.5$

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