ACT Prep Function Word Problems

Front

What is a function?

Back

A function is a relation where every input has exactly one output.

Tags

CCSS.8.F.A.1

Front

Write the equation for the total cost of a holiday meal for x people, given a cost of $12.50 per person and a delivery fee of $30.

Back

y = 30 + 12.5x

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the height of a ball dropped from a third-story window after t seconds, if the equation is h = -5t² + 45?

Back

The height when it is dropped is 45 feet.

Front

Write a linear equation to represent the total calories consumed by Amanda if she had a hamburger with 325 calories and potato chips with 12 calories each.

Back

y = 12x + 325, where x is the number of chips.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

If Bob has $150 in his savings account and saves $40 per month, write the equation representing his savings after x months.

Back

y = 40x + 150.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input corresponds to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not.

Tags

CCSS.8.F.A.3