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.

Question

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.

Answer 1

Miley puts $25 into her savings account each week. To find out how many weeks it will take for her to save enough money to buy the boots that cost $150, we can use the following formula:

\[ \text{Total Savings} = \text{Weekly Savings} \times \text{Number of Weeks} \]

Let \( n \) be the number of weeks. Then, we set up the equation:

\[ 25n = 150 \]

To find \( n \), we divide both sides by 25:

\[ n = \frac{150}{25} = 6 \]

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

Looking at the line graph, we can check for the point corresponding to 6 weeks (the x-axis value of 6). Based on the information provided in the graph:

1. The graph shows points at (2, 50), (3, 75), and (4, 100).
2. Continuing this trend, we can calculate Miley's savings:
   • At week 5 (5, 125) which isn't explicitly listed but follows the pattern,
   • At week 6, her savings would be $150 (6, 150).

Thus, visually and mathematically, Miley will be able to buy the boots after 6 weeks.