Slopes and Y Intercepts

Aunt Maggie’s car broke down on Interstate 10. Sam’s Towing charges a $57 hook up fee and $2 per mile towed. Regina’s Towing charges a $45 hook up fee and $2.50 per mile towed. Which of the following statement is true?

• The rate of change of the functions that model both situations represent the hours per mile.

• The intercept of the function that models Sam’s Towing charges is 2.

• The rate of change of the function that models Regina’s towing charge is 2.

• The intercept of the functions that model both situations represents the hook up fee.

Consider the following equations.

Equation A: 4x - 2y = -6

Equation B: 3x + y = 3

• The slopes and the y-intercepts of both lines are the same.

• The slopes of both lines are the same and the y-intercepts are different.

• The slopes of both lines are different and the y-intercepts are the same.

• The slopes and the y-intercepts of both lines are different.

Which graph represents the equation 4x - 2y = -6

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Which graph represents the equation 2x +3y = 6

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Write 2x + 3y = 12 in slope - intercept form.

• y = -3x + 6

• y = -⅔x + 4

• y = ⅔x -12

• y = -2x + 4

Line h is shown below. Which statement is true about line h?

• The slope is less than 0 and the y-intercept is greater than zero.

• The slope is less than 0 and the y-intercept is less than zero.

• The slope is greater than 0 and the y-intercept is greater than zero.

• The slope is greater than 0 and the y-intercept is less than zero.

Brandon and his friend Adam both mow lawns. Brandon earns $375 per week mowing 15 lawns while Adam earns $500 per week mowing 25 lawns. What does the average rate of change represent in this situation?

• The number of loans mowed per week

• The amount of money earned per the number of lawns mowed

• The number of lawns mowed per amount of money earned

• The amount of money earned

Brandon and his friend Adam both mow lawns. Brandon earns $375 per week mowing 15 lawns while Adam earns $500 per week mowing 25 lawns.

Who has a greater rate of change?

• Brandon

• Adam

• They have the same rate of change

• Neither

The equation y = 2x + 10 represents the cost of visits to the community pool, where x represents the number of visits. What does the y-intercept represent?

• How much you pay each time you visit

• The total you pay for all visits

• How much you pay for one visit

• The cost of membership to the community pool

The T-Mobile ONE family plan includes 4 lines and unlimited data, calls, and texts for $160.00 per month, including taxes and fees. There is an activation fee of $80.00.

Which equation represents this situation?

• y = 80x + 160

• y = 160x + 80

• y = 2x + 80

• y =½x + 160