Determining Rate of Change and Initial Value

The set of data in the table represent a linear function. Which is an equation for this function?

• y = -3x + 1

• y = x + 9

• y = 5x + 1

• y = 2x - 3

The cost to join a gym includes a one time membership fee, plus a monthly fee. John joined the gym and paid $325 for 6 months. Abigail joined the gy and paid $475 for 9 months. What is the cost per month after a person joins the gym?

• $25

• $50

• $55

• $150

An air conditioning company charges a flat fee for each service call, plus an hourly rate for any work completed. The table shows the total cost for certain jobs based on the hours worked. Based on a linear model, what does the company charge for a service call?

• $39.99

• $44.99

• $49.99

• $56.99

What is the equation of the linear function that passes through the points shown in the table?

• y = 2x - 1

• y = 2x + 2

What is the equation of the line that passes through (-2, -2) and (0, 4)?

• y = 3x - 8

• y = 3x + 4

Which equation represents the data in the table shown?

• y = 2x + 3

• y = 2x + 9

• y = 4x + 3

• y = 4x + 9

During a science experiment, the temperature of a liquid in a beaker started at 8 degrees and dropped by 0.8 degrees every minute. Which function models the temperature of the liquid, y, after x minutes?

• y = 8 - 0.8x

• y = 2.5x - 8

• y = 0.8 + 8x

• y = 8x - 0.8

A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?

• y = 26x + 50

• y = 50x + 26

• y = 38.50x + 50

• y = 50 + 154x

Which equation fits the data shown in the table?

• y = 3x

• y = 2x + 2

• y = x + 4

• y = -x + 8

The value of a car over a period of time is shown in the table. Which statement is true of the value of the car?

• The initial value of the car is $15,000 and it increases by $750 every year.

• The initial value of the car is $16,500 and it increases by $750 every year.

• The initial value of the car is $16,500 and it decreases by $750 every year.

• The initial value of the car is $15,000 and it decreases by $750 every year.