AMU MATH 110 week 2 test answers American Military University 03

# AMU MATH 110 Test Week 2-03

## Part 1 of 25

Question 1 of 25

Write the equation of the line with a slope of – 6 and passing through the point (0, 0).

A. y = – 6x

B. y = – 6

C. x = 0

D. None of these.

E. y = 0

## Part 2 of 25

Question 2 of 25 (U8-Qseventy.gif)

A. Choice A

B. Choice B

C. Choice C

D. Choice D

## Part 3 of 25

Question 3 of 25 Write the equation in slope-intercept form, of the line passing through (2, 3) that is perpendicular to the line y = – x + 11.

The perpendicular line is

## Part 4 of 25

Question 4 of 25

The graph of a line has a slope of -7 and a y-intercept of (0, 0). Rewrite the equation in standard form (Ax + By = C) with a positive x-term. A, B, and C must all be integers – not decimals or fractions!

The equation in standard form is y=

## Part 5 of 25

Question 5 of 25 Write the equation in slope-intercept form of the line passing through the points (- 2, 8) and (6, 0 ).

The equation is y =

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## Part 6 of 25

Question 6 of 25 Determine which point is a solution to the inequality x + y > 5

A. (-1, 3)

B. (5, 0)

C. (2, 6)

D. None of these

E. (0, 5)

## Part 7 of 25

Question 7 of 25

True or False: This relation is a function: {(- 5, 5), (- 3, 5), (1, 5), (2, 5)}

True False

## Part 8 of 25

Question 8 of 25

Given the inequality: x > 10, which quadrants would be partially shaded?

A. Quadrants I and IV

B. Quadrants II and III

C. Quadrants III and IV

D. Quadrants I and II

## Part 9 of 25

Question 9 of 25

Choose the equation of the line that has a slope of 0 and contains the point (- 3, – 7).

A. y = – 3

B. y = – 7

C. x = – 3

D. x = – 7

## Part 10 of 25

Question 10 of 25 Find f(x + 1) when f(x) = 2x + 3 f(x + 1) =

## Part 11 of 25

Question 11 of 25

What is the range of the following relation: {(1, 8), (2, 8), (3, 8), (4, 8)}

A. {8}

B. {6, 8, 9}

C. {1, 2, 3, 4}

D. {1, 2, 3}

## Part 12 of 25

Question 12 of 25

The boundary of the graph of a linear inequality is either a solid or dashed line and the shaded area is either above or below the line.

Select the correct line and shading for the following inequality: y < 2x + 3

A. Line dashed; shaded below the line

B. Line solid; shaded below the line

C. Line dashed; shaded above the line

D. Line solid; shaded above the line

## Part 13 of 25 –

Question 13 of 25

Find the equation of a line passing through the point (2, 8) and parallel to the line y = – 5.

A. y = 2

B. x = 8

C. None of these.

D. x = 2

E. y = 8

## Part 14 of 25

Question 14 of 25

Find f(-18) when f(x) = 10x + 30

A. – 150

B. 210

C. 150

D. – 210

E. None of these.

## Part 15 of 25

Question 15 of 25

Write the equation of the line with slope = 3 and containing the point (3, 8).

A. y – 8 = mx – 3

B. None of these

C. y – 8 = x – 3

D. y = 3x – 1

E. y = 3x + 1

## Part 16 of 25 –

Question 16 of 25

Write the equation of the line passing through the points (- 3, 10) and (- 3, 7).

4.0/ 4.0 Points

A. x = – 3

B. y = x – 3

C. y = x + 3

D. y = – 3

## Part 17 of 25

Question 17 of 25

Clinch Electric charges $50 plus $35 per hour for a service call .

Choose the equation of the cost in dollars, y, for using Clinch for x hours.

A. None of these.

B. y = 35x + 50

C. y = 50x – 35

D. y = 35x – 50

E. y = 50x + 35

## Part 18 of 25

Question 18 of 25 Use your knowledge of the process of “Writing an equation given two points” to solve the following problem:

A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.75, sales will reach 119 bananas per day. Raising the price to $2.75 will cause the sales to fall to 79 bananas per day. Let y be the number of bananas the vendor sells at x dollars each. Write a linear equation that models the number of bananas sold per day when the price is x dollars each.

A. y = – 40x + 189

B. y = 40x + 189

C. y = – 40x + 49

D. None of these.

E. y = 40x – 49

## Part 19 of 25

Question 19 of 25

Determine the slope and the y-intercept for the equation 5x + y – 2 = 0.

A. m = 5/2; y-intercept is (0, 1/2)

B. m = – 1/5; y-intercept is (0, 2/5)

C. m = 5; y-intercept is (0, 2)

D. m = – 5; y-intercept is (0, 2)

## Part 20 of 25

Question 20 of 25

Write the equation of the line with an undefined slope and passing through the point (- 8, 7).

A. None of these.

B. y = – 8

C. x = – 8

D. x = 7

E. y = 7

## Part 21 of 25

Question 21 of 25

A truck rental company rents a moving truck one day by charging $35 plus $0.07 per mile. What is the cost of renting the truck if the truck is driven 150 miles?

A. $525.00

B. None of these.

C. $45.50 Feedback: Correct! Substitute and solve.

D. $24.50

E. $36.05

## Part 22 of 25

Question 22 of 25

The linear model C = 800x + 20,000 represents the cost, in dollars, for a company to manufacture x items during a month. Based on this, how much does it cost to produce 800 items?

A. $640,000

B. $0.03

C. $25.00

D. $660,000

## Part 23 of 25

Question 23 of 25

The cost (in hundreds of dollars) of tuition at the community college is given by T = 1.25c + 4, where c is the number of credits the student has registered for.

If a student is planning to take out a loan to cover the cost of 15 credits, use the model to determine how much money he should borrow.

Notice that the dollar sign is already there! Also, remember, when writing answers that involve money, it is customary to use 2 decimal places!

To pay for exactly 15 credits, the student should borrow

## Part 24 of 25

Question 24 of 25

Suppose the sales of a particular brand of appliance satisfy the linear model y = 110x + 700, where y represents the number of sales in year x with x = 0 corresponding to 1982, x = 1 corresponding to 1983, etc. Find the number of sales in 1997.

The number of sales in 1997 was 2350 .

## Part 25 of 25

Question 25 of 25

The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 2000, where x is the number of calculators produced. How many calculators can be produced for $139,700? The number of calculators that can be produced is 1397