a. An equation that represents the situation is y = 9 x
b. The best Interpretation of the slope is " It costs $9 per hour to rent a kayak " ⇒ 2nd answer
c. It costs $45 to rent the kayak for 5 hours
Step-by-step explanation:
Proportional relationship means two quantities vary with each other
If y varies directly as x, then
The cost " y " in (dollars) to rent a kayak is proportional to the
number of hours " x " that you rent the kayak
∵ y ∝ x
∴ y = k x , where k is the constant of proportionality
∵ It costs $27 to rent the kayak for 3 hours
∴ y = 27 and x = 3
- Substitute these value in the equation above
∴ 27 = k (3)
- Divide both sides by 3
∴ 9 = k
∴ y = 9 x
a. An equation that represents the situation is y = 9 x
∵ The slope is the unit rate of the cost
∵ The slope = 9
∴ The unit rate is $9 per hour
b. The best Interpretation of the slope is " It costs $9 per hour to rent a kayak "
∵ y = 9 x
∵ x = 5 hours
- Substitute x by 5 in the equation above
∴ y = 9 (5) = $45
c. It costs $45 to rent the kayak for 5 hours
Learn more:
You can learn more about linear equations in brainly.com/question/1284310
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