Understanding Linear Relationships in Bike Rental Costs

The video tutorial explains how to model the cost of renting a bicycle based on rental hours. It starts by analyzing the data to identify a linear relationship between rental hours and cost. The slope of the line is calculated as $9 per hour, leading to the formulation of the equation Y = 9x + 3. The video concludes by interpreting the equation, explaining the $3 base charge and verifying the model with data points.

What is the main objective of the bike rental service problem discussed?

• To determine the total number of bikes rented.

• To model the rental cost as a function of rental hours.

• To find the most popular rental location.

• To calculate the average speed of rented bikes.

What type of relationship is being investigated between rental hours and cost?

• Logarithmic

• Linear

• Quadratic

• Exponential

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CCSS.HSF-LE.A.1B

How much does the cost increase for every two additional rental hours?

• $27

• $18

• $36

• $9

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CCSS.8.EE.B.5

What does the slope of the line represent in this context?

• The total rental cost

• The initial rental fee

• The hourly rental cost

• The number of rental hours

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CCSS.8.EE.B.5

What is the value of the slope in the linear equation for this problem?

• $9 per hour

• $6 per hour

• $3 per hour

• $12 per hour

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CCSS.8.EE.B.5

What is the y-intercept in the context of this bike rental problem?

• The cost per hour

• The total cost for 5 hours

• The initial fee before hourly charges

• The cost for 1 hour

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the complete linear equation derived for the rental cost?

• Y = 9x + 3

• Y = 3x + 9

• Y = 9x - 3

• Y = 3x - 9

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CCSS.6.EE.B.7

How much would it cost to rent a bike for 3 hours according to the equation?

• $36

• $33

• $30

• $27

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CCSS.HSF.LE.B.5

What does the $3 in the equation Y = 9x + 3 represent?

• The cost per additional hour

• The discount offered

• The total cost for 3 hours

• The initial charge before hourly rates

If the rental cost for 5 hours is calculated, what should the total be?

• $45

• $54

• $48

• $51