Writing and interpreting linear functions

A strong cold front blew through during the night.  The temperature outside began to drop rapidly.  The graph shows the temperature at each hour after the cold front blew through.  What is the initial value of the graph?

• 80 degrees

• 0 degrees

• 40 degrees

• 85 degrees

The price, p, of an ice cream is $3.95 plus $0.85 for each topping, t, on the ice cream.

What is the rate of change in the following scenario?

I am saving money in my bank account each month using this expression 50 + 10m. What does the m represent?

• The number of months I am saving

• The amount I save each month

• The amount I started with

• The account number

What is the y-intercept of the linear relationship shown in the table?

• -3
• 3
• -4

• 5

A train is 500 meters above ground and descends at the rate of 50 meters per minute. What does x represent?

• minutes

• meters

• feet

• seconds

You have already saved some money and plan to save $50 from each paycheck from now on. The situation is modeled by the equation T = 50p + 250 where T is the total you have saved for p number of paychecks. What does slope represent?

• You save $250 each week

• You save $50 each paycheck

• You start with $50

• You only have $250

How much does it cost to rent the concert hall for 8 hours?

• $600

• $800

• $100

• It is free

• The rate of change is $35. The initial value is $140
• The rate of change is $140. The initial value is $35
• The rate of change is $20. The initial value is $35

Which situation can be represented by the equation y = 8x + 42.5

• Emily plans to take art classes to learn how to paint. She spends $42.50 on supplies at Hobby Lobby and $8.00 on supplies at Michaels. What is y, the total amount spent after buying x supplies?

• Ari has $42.50 in her bank account. She spends $8.00 on Christmas gifts for each of her AVID mentees. How much total money, y, does Ari have in her account after buying x, gifts?

• Christine buys some movie tickets for $8.00 each. Then she spends $42.50 on snacks at the concession stand. What is y, the total amount spent after buying, x, tickets?

• Stephen is a baker and sells birthday cakes. He spends $42.50 on ingredients, then charges $8.00 per cake. What is y, the total amount earned after selling x, cakes?

The graph shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. What does the x - intercept of the graph represent ?

• The number of gallons of fuel in the truck before any driving occurred

• The number of hours the truck was driven before running out of fuel

• The number of gallons of fuel the truck can hold

• The number of hours required to use one gallon of fuel