Finding a Constant of Proportionality Answers

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5

Jeremy looked at this table of prices and said the cost for renting a bike is $7.00 per hour. What mistake may Jeremy have made? Explain.

Answer:

Jeremy mistook the $7.00 cost for 2 hours as the cost for 1 hour. The unit rate is found by dividing cost by hours: $7.00 ÷ 2 = $3.50 per hour. The other pairs in the table also give $3.50 per hour.

6

Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x-value of 1 and if it doesn’t show an x-value of 1.

Answer:

When the x-value is 1 , the y-value is the constant of proportionality. If there isn’t an x-value of 1, choose another point and divide the y-value by the x-value to find the constant of proportionality.

7

Which of the following did you include in your response?

A
Jeremy did not find the unit rate. He just used the first dollar value in the table.
B
The unit rate is found by dividing the cost by the number of hours and checking that they are equal.
C
In every set of values, the unit rate is $3.50 per hour.
8

Which did you include in your explanation?

A
If there is a point with an x-value of 1, the corresponding y-value is the constant of proportionality.
B
If there is not a point with an x-value of 1, choose a point on the graph and divide the y-value by the x-value.

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