Parts of Linear Functions

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

What is the meaning of the y-intercept?

• The hamburger will cost $1.90 without any toppings.

• The hamburger will cost $1.40 without any toppings. 

• The cost of the hamburger is $1.90 with one topping

• The cost of the hamburger doesn't change no matter how many toppings there are.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee

• How much Rich pays per visit

• The number of times Rich goes to the gym

• The total cost at the end of the month

The lawnmower uses 2 gallons of gas every time the entire yard is mowed.  The lawnmower can hold 7 gallons when it is full.  The equation y = -2x + 7 models the amount of gas in the tank when I mow the entire yard x number of times.  What is the meaning of the slope?  

• the gallons of gas used every time I mow the entire yard

• the amount of gas the lawnmower can hold

• the amount of gas need to mow the front yard

• the change in the amount of gas

A function that has a constant rate of change

• Linear

• Exponential

• Quadratic

The function g is a linear function with g (0) = u and

g (2) = 3u , where u is a positive constant. Which of the following defines g (x)?

• g (x) = ux

• g (x) = u + x

• g (x) = ux + u

• g (x) = 2ux + u

The function g is a linear function with g (0) = u and

g (2) = 3u , where u is a positive constant. Which of the following defines g (x)?

• g (x) = ux

• g (x) = u + x

• g (x) = ux + u

• g (x) = 2ux + u

What is a linear function?

• Has a constant rate of change (its graph is a straight line)

• Does not have a constant rate of change (its graph is not a straight line

• Has a constant rate of change (its graph is not a straight line)

• Does not have a constant rate of change (its graph is a straight line)

The owner of a small computer repair business has one employee who is paid an hourly rate of $22.  The owner estimates his weekly profit using the function P(x) = 8600 - 22x.  In this function, x represents the number of

• computers repaired per week

• hours worked per week

• customers served per week

• days worked per week

Identify the values of m and c in the slope-intercept form of the linear function: Y = 3x - 4.

• m = 3, c = -4

• m = -3, c = 4

• m = 4, c = -3

• m = -4, c = 3