Foundations of Math Functions Review

• Function
• Not a Function

The table below shows some of the values for the linear function f.

Let g be the linear function defined by g(x) = 4x + 5.

Which statement is true?

• The graph of f has a greater slope than the graph of g.

• The graph of g has a greater slope than the graph of f.

• The graph of f has the same slope as the graph of g.

• The slopes of the graphs of f and g are undefined.

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

The table shown is comparing a person's foot length to their height in cm. According to the linear regression model, what is the length of someone that is 168 cm tall?

• 25.05

• 25.661

• 960.936

• 42.35

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79

• y = -1.79x + 61.93

• y = 0.016x + 0.03

• y = 0.03x + 0.016

Estimate the correlation coefficient

• r=-1

• r=1

• r=-0.5

• r=0.5

Describe the relationship between the variables.

• Strong positive correlation

• Strong negative correlation

• Weak negative correlation

• Weak positive correlation

Find the rate of change (slope).

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

ax + c = R
(solve for x) 

• ax = R + c

• ax = R - c

• x = a(R-c)

• x = (R-c) / a