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)
According to the graph, Miley starts at the origin, which represents $0 in savings. She saves $25 every week. The line passes through the point (4, 100), which means after 4 weeks, Miley has $100 in savings.
To determine the number of weeks it will take for her to save enough money to buy the boots, we need to find when her savings reach $150.
From the graph, it can be seen that the line continues at a constant slope. Therefore, we can calculate the slope of the line using the given points.
Slope = (change in y)/(change in x) = (100-0)/(4-0) = 100/4 = 25.
This means that every week, Miley's savings increase by $25.
To find the number of weeks it will take for her to save enough money, we divide the cost of the boots ($150) by the amount she saves each week ($25).
Number of weeks = $150 / $25 = 6.
Therefore, it will take Miley 6 weeks to save enough money to buy the boots.