Slope of a Linear Function

Find the slope of the line. Describe how one variable changes in relation to the other.

• -1, the amount of water decreases by 1 gallon per minute.

• -2/3, the amount of water decreases by 2 gallons every 3 minutes

• -3/2, the amount of water decreases by 3 gallons every 2 minutes

• 2/3, the amount of water increases by 2 gallons every 3 minutes

The rate of change is constant in the table. Find the rate of change. Explain what the rate of

change means for the situation.

• the cost is $25 for each day $\frac{25\ dollars}{1\ day}$

• the cost is $1 for 25 days $\frac{1\ dollar}{25\ days}\$

• the cost is $75 for each $\frac{75\ dollars}{1\ day}$

• the cost is $1 for 150 days $\frac{1\ dollar}{150\ days}$

On a field trip, there are 3 adults for every 45 students. Which graph models a relationship

with the same unit rate?

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Which of the following statements is true concerning the graph below?

• The slope of the line is $\frac{3}{2}$
  

• The slope of the line is $-\frac{3}{2}$

• The slope of the line is $\frac{2}{3}$

• The slope of the line is $-\frac{2}{3}$

Which table represents a linear function?

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Below are representations of Smith’s, Harmon’s, Macey’s, and Rollie’s price on hamburgers. Which has the lowest price and best deal on a hamburger?

• Harmon's

• Rollie's

• Macey's

• Smith's

Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

• The slope of Function W is equal to the slope of Function Z.

• The slope of Function W is less than the slope of Function Z.

• The y-intercept of Function W is equal to the y-intercept of Function Z.

• The y-intercept of Function W is less than the y-intercept of Function Z.

Which equation represents a linear function?

• $y=5x^2+14$

• $y=\sqrt{4x}+4$

• $y=\left|3x\right|+7$

• $y=-2x-3$

Mr. Leonard is renting a car for one day. The tale shows the total amount he will be charged for the car based on the number miles he drives.

• $c=0.50m+30$

• $c=0.10m+30$

• $c=0.30m+0.10$

• $c=30m+0.50$

What is the slope of a line that passes through the points (3,-1) and (-3, 2)?

• $-\frac{1}{2}$

• $\frac{1}{2}$

• -2

• 2