Classwork Lesson 14

• (-112,-264)

• (64,88)

• (288,536)

If (x, y) is a solution to the equation above and y = 0, what is the ratio?

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n = 456 - 3T

The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit. According to the model, what is the meaning of the 3 in the equation?

• For every increase of 3°F, one more cup of hot chocolate will be sold.

• For every decrease of 3°F, one more cup of hot chocolate will be sold.

• For every increase of 1°F, three more cups of hot chocolate will be sold.

• For every decrease of 1°F, three more cups of hot chocolate will be sold.

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor's total charge is greater than Allan's total charge?

• x >4

• 3< x < 4

• 4 <x < 5

• x<3

A truck enters a stretch of road that drops 4 meters in elevation for every 100 meters along the length of the road. The road is at 1,300 meters elevation where the truck entered, and the truck is traveling at 16 meters per second along the road. What is the elevation of the road, in meters, at the point where the truck passes t seconds after entering the road?

• 1,300 - 0.04t

• 1,300 - 0.64t

• 1,300 - 4t

• 1,300 - 16t

In the polynomial p(x) defined above, k is a constant. If p(x) is divisible by x, what is the value of k?

• -3

• -2

• 0

• 3

What is the value of a if (2a + 3) - (4a - 8) = 7?

• -30

• 30

• 300

• 330

• 200

• 240

• 246

• 280

• x²

• 36x²

• 12

• 9

If x-2 is a factor of x² - bx + b, where b is a constant, what is the value of b?

• 400

• 8

• 2

• 4