Solving Real World Equations

Tia filled 5 goodie bags for Mother's Day. She filled each with some number of caramels and 3 chocolates. All together she used 30 candies to fill the bags. How many caramels were in each bag? Choose the equation to fit the situation.

Joanna has $15 in her bank account. She also earns $5 per week doing chores. Now she has $100 in her bank account. Choose the equation to represent the story.

• 15+5x=100

• 5(15+x)=100

• 15-5x=100

• 5(15-x)=100

Ms. Peralta bought a new car, which cost her $27,000. Which equation represents the value of the car after 5 years, if the car depreciates at a rate of 20% per year?

Ms. Colunga bought a new car, which cost him $30,000. Which equation represents how long it will take for the value of the car to be $15,000, if the car depreciates at a rate of 18% per year?

• $9

• $15

• $24

• $39

The cost of airing a commercial on television is modeled by the function C(n)=110n+900, where n is the number of times the commercial is aired. Based on this model, which statement is true?

• The commercial costs $0 to produce and $110 per airing up to $900.

• The commercial costs $110 to produce and $900 each time it is aired.

• The commercial costs $900 to produce and $110 each time it is aired.

• The commercial costs $1010 to produce and can air an unlimited number of times.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• It doesn't say

• I don't know

• 400%

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

• between 1 and two years

• more than 5 years

• less than a year

• between 3 and 4 years

 Halle deposited $4000 into an account that earns 5% interest each year.  The growth of her investment can be expressed by the exponential equation, A = 4000(1 + .05)^t, where A is the amount in the account after t years.  In how many years will her account exceed $10,000?

• 19 years

• 16 years

• 22 years

• 25 years

Jane has a hard time waking up before she drinks a tall latte with 140 mg of caffeine. Each hour, the amount of caffeine in her system decreases by 13%. How long until she only has 26 mg of caffeine?

• t=17.066

• t=13.895

• t=12.089

• t=26.891