Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Dominique is allowed to play up to 8 hours of video games this week. They want to play video games for at least 4 hours this weekend. Which of the following can be used to represent
t, the number of hours they can play video games before the weekend?
Choose 1 answer:
(A)
8-t >= 4
(B)
8-t <= 4
(C)
t-8 >= 4
(D)
t-8 <= 4

Dominique is allowed to play up to $8$ hours of video games this week. They want to play video games for at least $4$ hours this weekend. Which of the following can be used to represent $t$ , the number of hours they can play video games before the weekend? $\newline$ Choose $1$ answer: $\newline$ (A) $8-t \geq 4$ $\newline$ (B) $8-t \leq 4$ $\newline$ (C) $t-8 \geq 4$ $\newline$ (D) $t-8 \leq 4$

View step-by-step help

View step-by-step help

Solve two-step equations: word problems

Full solution

Q. Dominique is allowed to play up to

8

hours of video games this week. They want to play video games for at least

4

hours this weekend. Which of the following can be used to represent

t

, the number of hours they can play video games before the weekend?

\newline

Choose

1

answer:

\newline

(A)

8-t \geq 4

\newline

(B)

8-t \leq 4

\newline

(C)

t-8 \geq 4

\newline

(D)

t-8 \leq 4

Understand the problem: Understand the problem. $\newline$ Dominique is allowed to play up to $8$ hours of video games for the entire week. They want to ensure they play at least $4$ hours during the weekend. We need to find an equation that represents the number of hours $t$ they can play before the weekend.
Translate the problem: Translate the problem into an inequality. $\newline$ Since Dominique wants to play at least $4$ hours on the weekend, the time before the weekend plus the time during the weekend should not exceed $8$ hours. This means the time before the weekend should be such that when you add the time they want to play during the weekend (at least $4$ hours), it does not exceed $8$ hours.
Set up the inequality: Set up the inequality. $\newline$ Let $t$ represent the number of hours Dominique can play before the weekend. Then the total time played, including the weekend, should be less than or equal to $8$ hours. If they play at least $4$ hours during the weekend, the time before the weekend would be $8$ hours minus the time played during the weekend. This can be represented as: $\newline$ $8 - t$ (time before the weekend) + $4$ (time during the weekend) $\leq 8$ (total allowed time)
Simplify the inequality: Simplify the inequality. $\newline$ To find the inequality that represents the time before the weekend, we need to isolate $t$ . We can subtract $4$ from both sides of the inequality to find the maximum time they can play before the weekend: $\newline$ $8 - t + 4 \leq 8$ $\newline$ $8 - t \leq 8 - 4$ $\newline$ $8 - t \leq 4$
Choose the correct answer: Choose the correct answer. $\newline$ The inequality we have found is $8 - t \leq 4$ . This matches answer choice $(B)$ .

More problems from Solve two-step equations: word problems

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 2 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 3 months ago

Question

(\frac{8}{5})x= 32

Posted 3 months ago

Question

\newline

2+2

\newline

Posted 3 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago