Patterns and Algebra - Functions

The median home cost in the US in 1975 was $40,000. In 1990, an equivalent home cost $140,000. The trend continued into 2005 when the median home cost in the US was approximately $240,000. Assuming that this data's relationship is steady in the future, what is a reasonable estimate of the median home cost in the US in 2025?

$373,333

The scatterplot shows the relationship between sales at an ice cream shop and temperature. Based on the best fit line, shown, which of the following is the best estimate of the sales when the temperature is 21°C?

$450

Solve the following equation. Write the solution as a fraction in simplest form. 3(4x - 5) + 8 = 9(2x - 1)

1/3

The graph of �=�(�)y=f(x) is above. For this line, what is the value of �(10)−�(−10)f(10)−f(−10)?

20

Which of the following word problems is a valid question to prompt writing the equation: 8−5+3=�8−5+3=n?

8 birds were sitting on a fence. 5 birds flew away and 3 more birds landed on the fence. How many birds are on the fence now?

Which situation could best be represented by the equation: 12�=5412x=54?

Marty made car payments on her car for 54 months until it was paid off. What is x, the number of years it took Marty to pay off her car?

Chen's parents have decided to start paying him to do chores. For every chore Chen does, he receives $5. Based on this information, which of the following statements is true?

The dependent variable is the amount of money Chen makes.

Which of the following situations is both linear and continuous?

The number of calories consumed is a function of the number of grams of cereal eaten.

Austin had �d dollars in his bank account. He removed one-fourth of his money from the account. Which expression represents the money remaining in his account after the withdrawal?

d - 1/4d