QuestionIs the cost of copies ( $5.20,$ 6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

Studdy Solution

STEP 1

Assumptions1. We have three data points (260,5.20), (325,6.50), and (488,9.76) . We assume that the relationship between the number of copies and the cost of the copy order is either proportional or not proportional.

STEP 2

To determine if the relationship is proportional, we need to check if the ratio of the cost of the copy order to the number of copies is constant for all data points. This can be done by dividing the cost of the copy order by the number of copies for each data point.
$Ratio = \frac{Cost\, of\, Copy\, Order}{Number\, of\, Copies}$

STEP 3

Calculate the ratio for the first data point.
$Ratio_{1} = \frac{5.20}{260}$

STEP 4

Calculate the ratio for the second data point.
$Ratio_{2} = \frac{6.50}{325}$

STEP 5

Calculate the ratio for the third data point.
$Ratio_{3} = \frac{9.76}{488}$

STEP 6

Check if the ratios are equal. If they are, the relationship is proportional. If they are not, the relationship is not proportional.
$Ratio_{1} = Ratio_{2} = Ratio_{3}$

STEP 7

If the relationship is proportional, we can predict the cost of an order of600 copies by multiplying the number of copies by the constant ratio.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$

STEP 8

Calculate the cost of600 copies.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$ If the relationship is not proportional, we cannot predict the cost of an order of600 copies based on the given data.

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QuestionIs the cost of copies ( $5.20,$ 6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

Studdy Solution

STEP 1

Assumptions1. We have three data points (260,5.20), (325,6.50), and (488,9.76) . We assume that the relationship between the number of copies and the cost of the copy order is either proportional or not proportional.

STEP 2

STEP 3

Calculate the ratio for the first data point.
$Ratio_{1} = \frac{5.20}{260}$

STEP 4

Calculate the ratio for the second data point.
$Ratio_{2} = \frac{6.50}{325}$

STEP 5

Calculate the ratio for the third data point.
$Ratio_{3} = \frac{9.76}{488}$

STEP 6

Check if the ratios are equal. If they are, the relationship is proportional. If they are not, the relationship is not proportional.
$Ratio_{1} = Ratio_{2} = Ratio_{3}$

STEP 7

If the relationship is proportional, we can predict the cost of an order of600 copies by multiplying the number of copies by the constant ratio.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$

STEP 8

Calculate the cost of600 copies.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$ If the relationship is not proportional, we cannot predict the cost of an order of600 copies based on the given data.

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QuestionIs the cost of copies (5.20,5.20, 5.20,6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

Studdy Solution

STEP 1

Assumptions1. We have three data points (260,5.20), (325,6.50), and (488,9.76) . We assume that the relationship between the number of copies and the cost of the copy order is either proportional or not proportional.

STEP 2

STEP 3

Calculate the ratio for the first data point.Ratio1=5.20260Ratio_{1} = \frac{5.20}{260}Ratio1​=2605.20​

STEP 4

Calculate the ratio for the second data point.Ratio2=6.50325Ratio_{2} = \frac{6.50}{325}Ratio2​=3256.50​

STEP 5

Calculate the ratio for the third data point.Ratio3=9.76488Ratio_{3} = \frac{9.76}{488}Ratio3​=4889.76​

STEP 6

Check if the ratios are equal. If they are, the relationship is proportional. If they are not, the relationship is not proportional.Ratio1=Ratio2=Ratio3Ratio_{1} = Ratio_{2} = Ratio_{3}Ratio1​=Ratio2​=Ratio3​

STEP 7

If the relationship is proportional, we can predict the cost of an order of600 copies by multiplying the number of copies by the constant ratio.Cost of 600 Copies=600timesRatio1Cost\, of\,600\, Copies =600 \\times Ratio_{1}Costof600Copies=600timesRatio1​

STEP 8

Calculate the cost of600 copies.Cost of 600 Copies=600timesRatio1Cost\, of\,600\, Copies =600 \\times Ratio_{1}Costof600Copies=600timesRatio1​If the relationship is not proportional, we cannot predict the cost of an order of600 copies based on the given data.

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QuestionIs the cost of copies ( $5.20,$ 6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

Calculate the ratio for the first data point.
$Ratio_{1} = \frac{5.20}{260}$

Calculate the ratio for the second data point.
$Ratio_{2} = \frac{6.50}{325}$

Calculate the ratio for the third data point.
$Ratio_{3} = \frac{9.76}{488}$

Check if the ratios are equal. If they are, the relationship is proportional. If they are not, the relationship is not proportional.
$Ratio_{1} = Ratio_{2} = Ratio_{3}$

If the relationship is proportional, we can predict the cost of an order of600 copies by multiplying the number of copies by the constant ratio.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$

Calculate the cost of600 copies.
$Cost\, of\,600\, Copies =600 \\times Ratio_{1}$ If the relationship is not proportional, we cannot predict the cost of an order of600 copies based on the given data.