Quiz Grade 8 4-28-23 Friday Module 5 Lesson 4,5,6

The table below shows the costs of purchasing certain numbers of tablets.

We can assume that the total cost is a linear function of the number of tablets purchased. a) Write an equation that described the total cost, 𝒚, as a linear function of the number, 𝒙, of tablets purchased.b) Is the function discrete?

• y=599x

  The function is discrete

• y=699x

  The function is discrete

• y=599x

  The function is not discrete

• y=699x

  The function is not discrete

Water flows from a hose at a constant rate of 16 gallons every 5 minutes.

The total amount of water that flows from the hose is a function of the number of minutes you are observing the hose.

a) Write an equation in two variables that describes the amount of water, 𝑦, in gallons, that flows from the hose as a function of the number of minutes, 𝑥.

Water flows from a hose at a constant rate of 16 gallons every 5 minutes.

The total amount of water that flows from the hose is a function of the number of minutes you are observing the hose.

a) Use the equation you wrote to determine the amount of water that flows from the hose during a 2-minute period.

• y=6.1 gallons

• y=6.2 gallons

• y=6.3 gallons

• y=6.4 gallons

A function assigns the inputs and corresponding outputs shown in the table. Can you write a linear equation that describes the function?

The number of devices a particular manufacturing company can produce is a function of the the number of hours spent making the devices. On average, 4 devices are produced each hour. Assume that devices are produced at a constant rate. Write an equation in two variables that describes the number of devices, y, as a function of the time the company spends making the decives, x.

The number of devices a particular manufacturing company can produce is a function of the the number of hours spent making the devices. On average, 4 devices are produced each hour. Assume that devices are produced at a constant rate. Use the equation that you wrote to determine how many devices are produced in 8 hours.

Which of the function(s) above are linear?

• Function I, only

• Function II, only

• Function I and Function II, only

• Function I, Function II, and Function III

y=x-6

What is the missing number?

• 12

• 10

• 14

• 13

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

• 5

• 4

• 22

• 23

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5