Mathematics Homework Help

Linear Functions Questionnaire

1. Find the Y intercept and the slope of the line 3x – 2Y = 12a.

The Y intercept is -6 and the slope is + 3/2b.

The Y intercept is 2 and the slope is – 3/2c.

The Y intercept is 2 and the slope is 3/2d.

The Y intercept is -6 and the slope is + 2/3

2. What is the slope of a line that passes through (2, – 3) and (5, 1)?
a.-4/5b.5/4
c.-3/2d.4/3

3. It costs $2,700 to manufacture 100 items of a product, and $4,200 to manufacture 200 items. If x represents the number of items, and Y the costs, find the cost equation.a.

The (X, Y) coordinates are (100, 2700) and (200, 4200) and the cost function is Y = 1,200 – 15Xb.

The (X, Y) coordinates are (2700, 100) and (200, 4200) and the cost function is Y = 1,200 + 15Xc.

The (X, Y) coordinates are (100, 2700) and (200, 4200) and the cost function is Y = 1,200 + 15Xd.

The (X, Y) coordinates are (100, 2700) and (4200, 200) and the cost function is Y = 1,200 – 15X

4. It costs $2,700 to manufacture 100 items of a product, and $4,200 to manufacture 200 items. If x represents the number of items, and Y the costs, find the cost equation and use this function to predict the cost of 1,000 items.
a.The unit cost of production is $27 + $42 = $69

b.The variable cost of production per unit is $15

c.The unit cost of production $42

d.The unit cost of production is $27.00