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Question

A line graph shows time in weeks on the x-axis and total in dollars on the y-axis. The x-axis ranges from 0 to 8 in increments of 1. The y-axis ranges from 0 to 160 in increments of 20. A line starts at the origin and passes through plotted points left parenthesis 2 comma 50 right parenthesis; left parenthesis 3 comma 75 right parenthesis; and left parenthesis 4 comma 100 right parenthesis.

Miley is saving for a new pair of boots. They cost $150 . Every week, she puts $25 into her savings account. Based on the graph, state the number of weeks it will take for her to save enough money to buy the boots.

(1 point)
weeks
Remaining Attempts : 3
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Answer 1

To find out how many weeks it will take for Miley to save enough money to buy the boots that cost $150, we can set up the following equation based on her saving pattern.

Miley puts $25 into her savings account each week. Therefore, after \( w \) weeks, she will have saved:

\[ \text{Total savings} = 25w \]

We need to determine the number of weeks \( w \) such that her total savings is at least $150. So we set up the inequality:

\[ 25w \geq 150 \]

Now, we can solve for \( w \):

\[ w \geq \frac{150}{25} \] \[ w \geq 6 \]

Thus, it will take Miley at least 6 weeks to save enough money to buy the boots.

So, the answer is:

6 weeks