Answers NC-Foundations of Math 1 Fall 2nd 9 WeeksSlope-Intercept Form

Slope-Intercept Form Answers

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At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this situation?

A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 3).

A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 2).

A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 4).

A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 3).

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Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).

What is the slope, m, and y-intercept for the line that is plotted on the grid below?

m = , (0, –2)

m = , (0, 4)

m = 2, (0, –2)

m = 2, (0, 4)

Which is the graph of the linear function that is represented by the equation ?

On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).

On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).

On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).

On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

The equation represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which graph represents this equation?

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 10) and (40, 8).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 11) and (80, 8).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 12) and (125, 6).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 10) and (150, 0).

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x – 0.75

y = 0.75x – 12

Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?

A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (5, 125), (10, 175).

A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (1, 75), (2, 100).

A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).

A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (5, 100), (10, 150).