Graph Proportional Relationships Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the 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

Based on the graph, it will take Miley 6 weeks to save enough money to buy the boots.

To find the number of weeks it will take for Miley to save enough money to buy the boots, we can use the graph.

From the graph, we can see that the line passes through the point (4, 100) on the y-axis. This means that after 4 weeks, Miley will have saved $100.

To find the number of weeks it will take for her to save $150, we can set up a proportion:

$100 / 4 weeks = $150 / x weeks

Cross-multiplying, we get:

$100 * x weeks = $150 * 4 weeks

Simplifying, we find:

100x = 600

Dividing both sides of the equation by 100, we get:

x = 6

Therefore, it will take Miley 6 weeks to save enough money to buy the boots.

To answer this question, you need to analyze the given information from the graph. The line on the graph represents Miley's savings over time.

From the graph, you can see that the line starts at the origin (0,0) and passes through the points (2,50), (3,75), and (4,100).

The x-axis represents time in weeks, and the y-axis represents total savings in dollars.

To find the number of weeks it will take for Miley to save enough money to buy the boots, you need to find the point on the graph where the total savings reaches $150.

From the given information, you can see that the line increases by $25 each week. So, to find the number of weeks it will take to save $150, you need to divide $150 by $25.

$150 / $25 = 6 weeks

Therefore, it will take Miley 6 weeks to save enough money to buy the boots.