(4, 100), (3, 700), (2, 50)
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
To determine the number of weeks it will take for Miley to save enough money to buy the boots, we need to calculate the total amount of money she saves each week and compare it to the cost of the boots.
Given that Miley saves $25 per week, we can calculate the total amount of money she saves after a certain number of weeks using the formula:
Total savings = Number of weeks × Amount saved per week
Let's calculate the total savings after each number of weeks based on the given data:
For Week 4:
Total savings = 4 weeks × $25/week = $100
For Week 3:
Total savings = 3 weeks × $25/week = $75
For Week 2:
Total savings = 2 weeks × $25/week = $50
Now, comparing the total savings after each week with the cost of the boots ($150), we can determine the number of weeks it will take for Miley to save enough money to buy the boots:
Week 4:
Total savings = $100
Not enough money to buy the boots
Week 3:
Total savings = $75
Not enough money to buy the boots
Week 2:
Total savings = $50
Not enough money to buy the boots
Since Miley does not have enough money to buy the boots after 4 weeks, 3 weeks, or 2 weeks of saving $25 per week, we need to continue calculating until the total savings exceed or equal $150.
For Week 5:
Total savings = 5 weeks × $25/week = $125
Week 6:
Total savings = 6 weeks × $25/week = $150
So, it will take Miley 6 weeks to save enough money to buy the boots.
Based on the given points on the graph, it is not possible to determine the number of weeks it will take for Miley to save enough money to buy the boots.
To determine the number of weeks it will take for Miley to save enough money to buy the boots, we need to find the point where the amount saved reaches or exceeds $150.
Let's analyze the given data. We have three data points:
(4, 100) - This means that after 4 weeks, Miley has saved $100.
(3, 700) - This means that after 3 weeks, Miley has saved $700.
(2, 50) - This means that after 2 weeks, Miley has saved $50.
We can interpret this information as a linear relationship between the number of weeks (x) and the amount saved (y). We can use this information to find the equation of the line.
Using the two points (2, 50) and (4, 100), we can find the slope of the line:
slope = (change in y) / (change in x) = (100 - 50) / (4 - 2) = 50 / 2 = 25
Now that we know the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Plugging in one of the points, for example (2, 50):
y - 50 = 25(x - 2)
Next, we can simplify the equation:
y - 50 = 25x - 50
Adding 50 to both sides:
y = 25x
Now we have the equation of the line.
To determine the number of weeks it will take for Miley to save enough money to buy the boots ($150), we need to find the x-value when y (amount saved) equals or exceeds $150.
Substituting y = 150 into the equation:
150 = 25x
Now we can solve for x:
x = 150 / 25
x = 6
Therefore, it will take Miley 6 weeks to save enough money to buy the boots.