Identifying Slope & Graphing Systems of Equations

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form and identify the slope and y-intercept.

• C = 0.20m + 30; Slope: 0.20, Y-intercept: 30

• C = 0.20m + 50; Slope: 0.20, Y-intercept: 50

• C = 30m + 0.20; Slope: 30, Y-intercept: 0.20

• C = 0.50m + 30; Slope: 0.50, Y-intercept: 30

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Two friends are saving money for a concert. Friend A saves $10 a week, while Friend B saves $15 a week. Write the equations in slope-intercept form and graph the system of equations to find when they will have the same amount saved.

• They will have the same amount saved at week 5.

• They will never have the same amount saved.

• They will have the same amount saved at week 0.

• Friend A will always save more than Friend B.

Tags

CCSS.8.EE.C.8C

A school is selling tickets for a play. Adult tickets are $8 and student tickets are $5. If the school sells a total of 100 tickets for $600, write a system of equations to represent the situation and identify the slope and intercept.

• x + y = 100; 10x + 4y = 600; Slope = -4/10, y-intercept = 100

• x + y = 50; 8x + 5y = 400; Slope = -5/8, y-intercept = 50

• x + y = 100; 8x + 5y = 600; Slope = -8/5, y-intercept = 100

• x + y = 120; 8x + 5y = 700; Slope = -5/8, y-intercept = 120

Tags

CCSS.8.EE.C.8C

A phone plan costs $40 per month plus $0.10 per text message. Write the equation in slope-intercept form and graph the system of equations to find out how many text messages can be sent if the total bill is $60.

• 200

• 100

• 150

• 250

Tags

CCSS.8.EE.C.8C

A farmer sells apples for $3 per pound and oranges for $2 per pound. If he sells a total of 50 pounds of fruit for $120, write a system of equations to represent the situation and identify the slope and intercept.

• x + y = 50, 2x + 3y = 120

• x + y = 60, 3x + 2y = 100

• System of equations: x + y = 50, 3x + 2y = 120; Slope: -1, Intercept: 50.

• x + y = 50, 4x + y = 120

Tags

CCSS.8.EE.C.8C

A taxi company charges a base fare of $2.50 plus $1.50 per mile. Write the equation in slope-intercept form and graph the system of equations to find out how much a ride would cost for 5 miles.

• $15.00

• $12.00

• $10.00

• $7.50

Tags

CCSS.8.EE.C.8C

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items for $70, write a system of equations to represent the situation and identify the slope and intercept.

• x + y = 10; 10x + 5y = 70; Slope = -10/5, y-intercept = 14.

• x + y = 8; 12x + 5y = 60; Slope = -5/12, y-intercept = 12.

• x + y = 10; 12x + 5y = 70; Slope = -12/5, y-intercept = 14.

• x + y = 15; 12x + 5y = 80; Slope = -5/12, y-intercept = 10.

Tags

CCSS.8.EE.C.8C

A landscaping company charges a flat fee of $100 plus $25 per hour of work. Write the equation in slope-intercept form and graph the system of equations to find out how much a customer would pay for 4 hours of work.

• $200

• $150

• $175

• $250

Tags

CCSS.8.EE.C.8C