4.2 Independent Practice

• Rate of change is $75 per room. Initial Value is $50, which is a flat fee no matter how many rooms are cleaned.

• Rate of change is $75 per room. Initial Value is $125, which is a flat fee no matter how many rooms are cleaned.

• Rate of change is $125 per room. Initial Value is $75, which is a flat fee no matter how many rooms are cleaned.

• Rate of change is $50 per room. Initial Value is $75, which is a flat fee no matter how many rooms are cleaned.

The total cost to pay for parking at a state park for the day and rent a paddle boat are shown above. Find the cost to park for a day and the hourly rate to rent a paddle boat.

• $12 to park, $5 per hour

• $5 to park, $12 per hour

• $17 to park each hour

• $7 to park each hour

The total cost to pay for parking at a state park for the day and rent a paddle boat are shown above. What will Lin pay if she rents a paddle boat for 3.5 hours and splits the total cost with a friend?

• $47

• $21

• $23.50

• $42

Raymond's parents will pay for him to take sailboard lessons during the summer. He can take half-hour group lessons or half-hour private lessons. The relationship between the cost and number of lessons is linear. Find the rate of change and the initial value for the group lessons.

• Rate of change is $50 per lesson. The initial value is $25.

• Rate of change is $30 per lesson. The initial value is $25.

• Rate of change is $25 per lesson. The initial value is $30.

• Rate of change is $30 per lesson. The initial value is $25.

Raymond's parents will pay for him to take sailboard lessons during the summer. He can take half-hour group lessons or half-hour private lessons. The relationship between the cost and number of lessons is linear. Find the rate of change and the initial value for the private lessons.

• Rate of change is $50 per lesson. The initial value is $25.

• Rate of change is $30 per lesson. The initial value is $25.

• Rate of change is $25 per lesson. The initial value is $30.

• Rate of change is $30 per lesson. The initial value is $25.

Raymond's parents will pay for him to take sailboard lessons during the summer. He can take half-hour group lessons or half-hour private lessons. The relationship between the cost and number of lessons is linear. Compare and contrast the rates of change and the initial values.

• Both rates of change are variable, but the private lessons cost more. There is a flat fee of $25 no matter which type of lessons Raymond takes.

• Both rates of change are constant, but the private lessons cost more. There is a flat fee of $50 no matter which type of lessons Raymond takes.

• Both rates of change are constant, but the private lessons cost more. There is a flat fee of $25 no matter which type of lessons Raymond takes.

• Both rates of change are variable, but the private lessons cost more. There is a flat fee of $50 no matter which type of lessons Raymond takes.

Explain why the relationship is not linear.

• Rate of change is constant from 1 to 2 to 3, but not from 3 to 4.

• Rate of change is constant from 1 to 2 and 3 to 4, but not from 2 to 3.

• Rate of change is constant so it is linear.

• Rate of change is constant from 2 to 3, and 3 to 4 but not from 1 to 2.

Explain why the relationship is not linear.

• Rate of change is not constant. It goes from -7 to-5 .

• Rate of change is not constant. It goes from -7 to -2 to -6.

• Rate of change is not constant. It goes from -7 to -8 to -9.

• Rate of change is not constant. It goes from -7 to-9 to -10.

Your teacher asked your class to describe a real-world situation in which a y-intercept is 100 and the slope is 5. Write the equation of this situation.

• y=100x+5

• y= -100x+5

• y= -5x+100

• y= 5x-100

Your teacher asked your class to describe a real-world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since.

• The blocks will run out.

• No mistake

• The slope is positive, so the amount should be increasing, not decreasing.

• The slope is negative, so the amount should be increasing, not decreasing.