Application of Linear Functions

1. What is the equation of the line that is perpendicular to the line y = -2x + 12 and passes through point (-2, 8)?

• y = -1/2x +7

• y = 1/2x + 7

• y = -1/2x - 7

• y = 1/2x – 7

1. What is the equation of the line that passes through the point (-2, -5) and is parallel to the line with equation y = 4x + 8?

• y = 1/4x + 8

• y = 4x – 8

• y = -4x + 3

• y = 4x + 3

Several students performed an experiment by dropping marbles of uniform size into a jar of water. They measured the height of the water after every five marbles. The results are listed in the table below. 

Which function best represents the problem situation and the approximate number of marbles it will take for the water to reach a height of 2 feet?

• f(x) = x + 8; approximately 16 marbles 

• f(x) = 0.3x + 8; approximately 53 marbles 

• f(x) = 0.3x + 6.5; approximately 58 marbles

• f(x) = x + 3; approximately 21 marbles 

1. Joe's weekly salary varies directly to the number of hours he works. One week he made $264 when he worked 22 hours. What will Joe make if he only works 17 hours in one week?

• $12

• $74

• $468

• $204

Examine the sequence of integers: −4, 3, 10, 17, 24 Write an algebraic expression that represents the nth integer in this sequence?

• 7x + 11

• 7x - 11

• 1/7x -11

• 1/7 + 11

Examine the sequence of integers: 28, 38, 48, 58, 68 Write an algebraic expression that represents the nth integer in this sequence?

• 30x - 2

• 20x +8

• 10x +18

• 10x + 8

The scatterplot shows the number of visitors to a beach each day and the high temperature in degrees Fahrenheit for that day.

Based on this scatterplot, which statement appears to be true?

• There is no correlation between the high temperature and the number of visitors to the beach.

• When the high temperature is between 75°F and 90°F, more than 120 visitors are expected at the beach.

• When the high temperature is above 100°F, fewer than 150 visitors are expected at the beach.

• There is a nonlinear correlation between the high temperature and the number of visitors to the beach.

A sequence contains the terms a₂ = 35, a₄ = 57, a₇ = 90. Which formula represents the nth term of the sequence?

• 11x +13

• 22x + 13

• 11x - 13

• 22x - 13

Which equation represents the line that passes through the points (-1,-2) and (3,10)?

• y = 3x + 1

• y = 3x - 1

• y = 4x + 2

• y = 4x - 2

What is an equation of the line that passes through the point (4,-6) and has a slope of -3?

• y = -3x + 6

• y = -3x - 6

• y = -3x + 14

• y = -3x + 10