1- The manager of a restaurant found that the cost to produce

150

cups of coffee is

$44.50,

while the cost to produce

300

cups is

$82.00.

Assume the relationship between the cost y to produce x cups of coffee is linear.

a. Write a linear equation that expresses the cost, y, in terms of the number of cups of coffee, x.

b.How many cups of coffee are produced if the cost of production is

$119.50?

Question content area bottom

Part 1

a.

y=enter your response here

(Use integers or decimals for any numbers in the expression.)

2- A plant can manufacture

50

golf clubs per day at a total daily cost of

$5427

and

70

golf clubs per day for a total cost of

$6927.

(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.

(B) Graph the total daily cost for

0x200.

(C) Interpret the slope and y intercept of the cost equation.

Question content area bottom

Part 1

(A)

C=enter your response here

(Simplify your answer. Use integers or fractions for any numbers in the expression. Do not include the $ symbol in your answer.)

3- (A) Find the slope of the line that passes through the given points.

(B) Find the standard form of the equation of the line.

(C) Find the slope-intercept form of the equation of the line.

(3,6)

and

(5,6)

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Part 1

(A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The slope is

m=enter your response here.

(Type an integer or a simplified fraction.)

B.

The slope is not defined.

4- A) Find the slope of the line that passes through the given points.

(B) Find the standard form of the equation of the line.

(C) Find the slope-intercept form of the equation of the line.

(8,3)

and

(8,3)

Question content area bottom

Part 1

(A) Find the slope of the line that passes through the given points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The slope is

enter your response here.

(Type an integer or a simplified fraction.)

B.

The slope is undefined.

5- (A) Find the slope of the line that passes through the given points.

(B) Find the standard form of the equation of the line.

(C) Find the slope-intercept form of the equation of the line.

(5,6)

and

(9,11)

Question content area bottom

Part 1

(A) Find the slope of the line that passes through the given points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

m=enter your response here

(Type an integer or a simplified fraction.)

B.

The slope is not defined.