Exam 3: Graphs; Equations of Lines; Functions; Variation

The grade of a highway up a hill is 70%. How much change in horizontal distance is there if the vertical height of the hill is 200 feet? Express the answer to the nearest foot.

Tell whether the equation determines y to be a function of x . y = 8.5 x + 10

The time it takes a truck to go a certain distance varies inversely with its rate of speed. If a certain trip takes 3 hours when the driver goes 30 mph, how long will the trip take when the driver goes 60 mph?

Graph a line given the point-slope form of an equation.

The cost ( c ) of playing an online computer game for a time ( t ) in hours is given by the equation c = 3 t + 5. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

Find the slope of the line by finding the coordinates of two points on it. y = 2 x

If the ratio of rise to run is to be for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

The grade of a highway up a hill is 76%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot.

Graph a linear equation using the slope and -intercept.

Find the slope and the y -intercept of the line of the equation. y = -0.00008 x 0.0001

Graph a line given the point-slope form of an equation.

Express the sentence as a formula. Assume that is a constant of variation. For a fixed area, the length of a rectangle varies inversely with its width .

Refer to the line graph. At what times (A, B, C or D) do you find the following conditions: runner 1 stopped and runner 2 running?

Find the slope of the line determined by the equation.

Find the slope of the line determined by this pair of points. (1, 3), (6, 6)

Tell whether the graphs of the following pair of equations are parallel, perpendicular, or neither.

The cost of drilling a water well is jointly proportional to the length and diameter of the steel casing. If a 29-foot well using 3-inch casing cost $957, find the cost of a 35-foot well using 6-inch casing.

Scoliosis is a lateral curvature of the spine that can be more easily detected when a grid is superimposed over an X ray. Select the ordered pair that is not one of the "center points" of the labeled vertebrae. Note that T3 means the third thoracic vertebra, L4 means the fourth lumbar vertebra, and so on.

Graph a linear equation using the slope and -intercept.

Express the sentence as a formula. Assume that k is a constant of variation. A farmer's harvest h varies directly with , the number of acres he plants.