Practice Quiz - Section 1- 3 (Form A) - Linear Functions and Straight Lines

Multiple-choice exercise

Work out the problem on paper and then choose the letter for your answer. After you have successfully answered all questions, look at the top of the page to see how you did.

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Find the slope of the line which goes through the points (4,-1) and (1,8).

3

-3

-1/3

-7/3

None of the answers given; click to see the solution.

Find the equation of the line which goes through the points (4,-1) and (1,8). Note: These are the same two points that were given in question #1.

y = -3x + 13

y = -3x + 5

y = -3x + 11

y = -3x - 13

None of the answers given; click to see the solution.

Find the slope of the line which goes through the points (2, 5) and (9,5).

Not defined.

-4/3

0

None of the answers given; click to see the solution.

Find the equation of the line which goes through the points (2, 5) and (9,5). Note: these are the same two points which were given in question #3.

y = 5

The equation is undefined.

x = 5

y = x + 3

None of the answers given; click to see the solution.

Find the equation of the vertical line which goes through the point (3, 6).

y = 6

The equation is undefined.

x = 3

y = x + 3

None of the answers given; click to see the solution.

A manufacturing company has fixed costs (at 0 output) for a certain item of $2400 per day, and total costs of $7200 per day at a daily output of 300 items. Assuming the total cost per day, C(x), is a linear function of the total ouput per day, x, write an equation for the cost function.

C(x) = 300x + 2400

C(x) = 16x + 7200

C(x) = -16x + 2400

C(x) = 16x + 2400

None of the answers given; click to see the solution.

For a new product which is being introduced, the market research department of a manufacturing concern has found that the relationship between price and demand appears to be linear. For a demand of 1200 items, the price must be $350, while for a demand of 1500 items, the price must be $300. Let p(x) represent the price-demand function, that is, the price at which x items can be sold. Find an equation for p(x).

p(x) = (-1/6)x + 150

p(x) = (-1/6)x + 50

p(x) = -6x + 3300

p(x) = (-1/6)x + 550

None of the answers given; click to see the solution.