Question 1

The equation W=5+2mW=5+2m represents the weight of a puppy that starts outweighing Answer pounds and is gaining Answer pounds per month.

a. How much will the puppy weigh in 6 months? To find this we first Answer add or multiply

and thenAnswer ~add or multiply

. The puppy will weigh Answer pounds.

b. How long until the puppy reaches its adult weight, 30 pounds? That is, solve the equation 30=5+2m30=5+2m. To solve, firstAnswer subtract or divide and thenAnswer subtract or divide. In Answer months, the puppy will weigh 30 pounds.

Question 2

Natalie came up with C=7500+6.29tC=7500+6.29t for her cost of driving model. C is the total cost of driving for t trips.

a. Her cost per trip must be $Answer and her one-time costs (probably the cost of her car) is $Answer.

b. At some point, Natalie has spent $15,652. Can you figure out how many trips she has taken at that point? In other words, solve the equation 15652=7500+6.29t15652=7500+6.29t. This is a two-step process. The solution is (round to the nearest whole number) Answer trips.

c. How many trips would get her cost up to $10,000? Solve the equation10000=7500+6.29t10000=7500+6.29t. The solution is (round to the nearest whole number) Answer trips.

Question 3

The compound interest formula A=P(1+r)tA=P(1+r)t is used to find the future value, A, of an investment. The principal, P, is the amount of money invested now. The annual interest rate r is written as a decimal. The future value also depends on the number of years, t, that the investment earns interest.

a. You invest $5000 at 2% annually for 12 years. What is the future value of this investment? Round to the nearest dollar. $Answer

b. You actually want to have 8000 saved up by the end of the 12 years. If the interest rate is still 2%, how much would you need to invest now for that to happen? Round to the nearest dollar. $Answer

Question 4

I want to set some money aside for my child's college education. I decide that $5000 would be a nice amount to have in 18 years. My credit union offers a CD (Certificate of Deposit) that earns 2.5% annually. What would I need to invest now in order to have $5000 18 years from now? Round to the nearest dollar. $Answer

Question 5

In Lesson 3-19 on Solving Equations, we encountered the formula z=xz=x. To find a z-score for an x value, we subtract and then divide by .

A group of people has =100=100 and =15=15.

What is the z-score for an individual with x=130? z=Answer

.