1. The Happy Widget Company has a fixed cost of \$1,145 each day to...

Question

# 1. The Happy Widget Company has a fixed cost of \$1,145 each day to...

1. The Happy Widget Company has a fixed cost of \$1,145 each day to run their factory and a variable cost of \$1.26 for each widget they produce.

Create a linear model for their daily cost.

How much does it cost them to produce 320 widgets?

2. The Happy Widget Company has a fixed cost of \$1,295 each day to run their factory and a variable cost of \$1.68 for each widget they produce.

Create a linear model for their daily cost.

How many widgets can they produce for \$1,938?

3. In 1980, the average cost of a pack of cigarettes was \$0.55.  In 2000, the average cost was \$5.2 per pack.

What is the average rate of change of the cost of a pack of cigarettes?  What is another name for the average rate of change?

4. In 1980, the average cost of a pack of cigarettes was \$0.99.  In 2000, the average cost was \$4.58 per pack.

Find is the average rate of change of the cost of a pack of cigarettes.

Create a linear equation using the year 1980 as your starting year.  What value did you put in for your starting point?

5. In 1980, the average cost of a pack of cigarettes was \$0.66.  In 2000, the average cost was \$5.35 per pack.

Find the average rate of change of the cost of a pack of cigarettes.

Create a linear equation using the year 1980 as your starting year.

Use the linear model to estimate the cost of a pack of cigarettes in 2,017.

Do not round any values until the end of the problem.

6. The local Phi Theta Kappa chapter is selling lemon shakeups on campus as a fundraiser for their trip to Nerd Nation this year.  PTK members are volunteering their time to man the booth, but the chapter spent \$811 on supplies to make the shakeups.  They intended to charge \$3.12 per shakeup.

What is the slope?

7. The local Phi Theta Kappa chapter is selling lemon shakeups on campus as a fundraiser for their trip to Nerd Nation this year.  PTK members are volunteering their time to man the booth, but the chapter spent \$876 on supplies to make the shakeups.  They intended to charge \$3.42 per shakeup.

What is the starting amount, b, prior to selling the shakeups?

8. The local Phi Theta Kappa chapter is selling lemon shakeups on campus as a fundraiser for their trip to Nerd Nation this year.  PTK members are volunteering their time to man the booth, but the chapter spent \$870 on supplies to make the shakeups.  They intended to charge \$3.45 per shakeup.

Construct a linear model that represents the money raised by this fundraiser.

The chapter purchased enough materials to make 239 shakeups.  How much money will they have raised (+) or lost (-) if they sell all the 239 shakeups?

9. The local Phi Theta Kappa chapter is selling lemon shakeups on campus as a fundraiser for their trip to Nerd Nation this year.  PTK members are volunteering their time to man the booth, but the chapter spent \$802 on supplies to make the shakeups.  They intended to charge \$3.48 per shakeup.

How many shakeups will the chapter have to sell to break even?

10.

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