Algebra 1 Linear Equations Domain and Range

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 8

• 80 ≤ y ≤ 440

• 0 ≤ x ≤ 10

• 45 ≤ y ≤ 685

What are the domain and range of f(x) = -37? (Remember f(x) is the same thing as y)

• Domain: All real numbers greater than or equal to -37

  Range: All real numbers

• Domain: {-37}

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to -37

• Domain: All real numbers

  Range: {-37}

What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?

• y = 0.25x + 3

• y = 0.25x − 4.5

• y = 4x + 18

• y = 4x − 42

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

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The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed. Based on the table, which function models this situation?

• f(n) = −3n + 24

• f(n) = −1/3n + 16

• f(n) = −3n + 64

• f(n) = −1/3n + 8

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

• 24 seconds

• 17 seconds

• 13 seconds

• 37 seconds

What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?

• y = 1.2x − 6

• y = −1.2x + 6

• y = 1.2x + 5

• y = −1.2x − 5

What are the equation and slope of the line shown on the grid?

• y = 6, Slope is -1/6

• x = 6, Slope is zero

• y = 6, Slope is 6

• x = 6, Slope is undefined

Which value of x makes the equation 1.25(4x − 10) = 7.5 true?

• 3.5

• -1

• -0.5

• 4

What is the value of x in the solution to this system of equations? 3x − 5y = 22 y = −5x + 32

• -6.5

• 0.5

• 6.5

• -0.5