Module 4 Slope

What is the slope of the line represented by 5x - 12y =24

• -2

• 24/5

• -12

• 5/12

What is the slope of the line that passes through the points (26,7) and (-39,12)?

• -1/13

• 5/13

• -13

• 13/5

The slope of the line that passes through the points (-6, w) and (-10,4) is 1/8 . What is the value of w?

• 36

• 34

• 9/2

• 1/2

Which table shows the same rate of change of y with respect to x as

y = 4 - 5/8x ?

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The graph models the linear relationship between the temperature of Earth's atmosphere and the altitude above sea level. Which of these best represents the rate of change of the temperature with respect to altitude?

• -6.5^oC/km

• -3.5^oC/km

• -0.29^oC/km

• -0.15^oC/km

The function y= 3.75 + 1.5 (x-1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

• $1.50 per mile

• $3.75 per mile

• $4.25 per mile

• $5.25 per mile

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

• $1.00 per deposit

• $50 per deposit

• $0.50 per deposit

• $2 per deposit

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 2/9

• -9/2

• 9/2

• -2/9

The graph shows how the volume of the gas sample changes as the temperature changes and the pressure remains constant. Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature?

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A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week.

Which graph best represents the lifeguard's weekly earning in dollars for working h hours over 40?

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