Illustrative Math - Algebra 1 - Unit 5 -Lesson 20 - Formative Library | Library

Whenever the input of a function f increases by 1, the output increases by 5. Which of these equations could define f?

f(x)=3x+5

f(x)=5x+3

f(x)=5^{x}

f(x)=x^{5}

F.LE.1.b

F.LE.1.a

8.EE.1

F.LE.2

The function f is defined by f(x)=2^{x}. Which of the following statements is true about the values of f? Select all that apply.

When the input x increases by 1, the value of f increases by 2.

When the input x increases by 1, the value of f increases by a factor of 2.

When the input x increases by 3, the value of f increases by 8.

When the input x increases by 3, the value of f increases by a factor of 8.

When the input x increases by 4, the value of f increases by a factor of 4.

F.LE.1.b

F.LE.1.a

8.EE.1

F.LE.2

For each of the functions f,g,h,p, and q, the domain is 0\leq x\leq100. For which functions is the average rate of change a good measure of how the function changes for this domain? Select all that apply.

F.LE.1.b

F.LE.1.a

8.EE.1

F.LE.2

10.

The average price of a gallon of regular gasoline in 2016 was $2.14. In 2017, the average price was $2.42 a gallon—an increase of 13%.

At that rate, what will the average price of gasoline be in 2020?

F.LE.1.b

F.LE.1.a

8.EE.1

F.LE.2

11.

A credit card charges a 14% annual nominal interest rate and has a balance of $500.

If no payments are made and interest is compounded quarterly, which expression could be used to calculate the account balance, in dollars, in 3 years?

500*(1+\frac{0.14}{4})^{12}

500*(1+\frac{0.14}{4})^{3}

500*(1+\frac{0.14}{4})^{48}

500*(1+0.14)^{3}

F.LE.1.b

F.LE.1.a

8.EE.1

F.LE.2

12.

13.

14.

15.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 5, Lesson 20. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/5/20/index.html ; accessed 26/July/2021.

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