2b Algebra 4th

1. Paul was describing a function using the equation: y = 5x + 2. He stated that the point (1, 10) is included. Is he correct?

• yes

• no

Tristen said y= 3x + 7 includes the point (2, 7). Is he correct?

• yes

• no

Bono’s pizza starts up a business for $2,000. They make $8 per pizza. What is the profit function for Bono’s pizza? What are the x and y coordinates of the break even point?

• (0, 250)

• (250, 0)

• (0, 2000)

• (2000, 0)

Which of the following two-variable equations, when plotted on a graph, would be a curve (rather than a line)?

• y = 23 + x

• y = x

• y = x²

• y = 23x

The speed of a skateboarder changes from uphill to downhill at a speed of y = x²+4 where x is in minutes. The snowboarder's speed at time 0 is 4 and is 2 at time 8. The snowboarder claims that this proves his speed increases linearly. Is he right?

• Yes, because two points are needed to define a line

• No, because the equation is not linear

• No, because it does not cross the x-axis

• No, because the two points have positive values only

The rate at which humans breathe oxygen aboard the International Space Station is pretty steady. The equation y = x – 17 shows this to be the case, where x represents the number of people and y represents the relative danger of the oxygen supply. What is the maximum number of people allowed aboard the space station before the oxygen supply becomes dangerous (y > 0)?

• 14

• 15

• 16

• 17

If you invest $100,000 in an account and do not withdraw any money, will the 5% interest be a steady difference each year?

• No, this is an exponential growth problem

• The interest rate changes every year

• Yes, this is a linear growth problem

• There is not enough information

You're put in charge of a new facility in a company that produces more food to feed more people in hopes to extinguish world hunger. You've designed a new type of corn that grows at a rate of f(x) = 3x, where x is the number of months of the harvest. The old type of corn grew at a linear rate of f(x) = 3x. Which of the following is true?

• Compared to the old corn, the new corn grows slower at first and then substantially faster

• Compared to the old corn, the new corn grows faster at all times

• Compared to the old corn, the new corn grows at the same rate

• Compared to the old corn, the new corn grows slower at all times

A sugar processing plant is able to process 10 tons of sugar per month (that's more than even we can eat!). Assuming that this process stays steady, which of the following is the best equation to model the sugar production?

• y= 10x

• y = 10^x

• y = 10^x + 10x

• y - 10x²

If a ball rolls down a hill and goes 9 feet

in the first second, 18 feet in the next

and 24 feet in the third, how far will it

fall after 7 seconds?

• 63

• 54

• 71