Functions Word Problems

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Tags

CCSS.8.F.A.1

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you write an equation for a situation involving a flat fee and a variable cost?

Back

The equation is written as C = fixed fee + (variable cost per unit * number of units).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a runner's speed is constant, how can you express the distance covered over time?

Back

Distance can be expressed as D = rt, where D is distance, r is rate (speed), and t is time.

Tags

CCSS.HSF-LE.A.1B

Front

What does the slope of a line represent in a linear function?

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

How do you determine the total cost from a babysitting scenario?

Back

Total cost C can be calculated using the equation C = 5h + 3, where h is the number of hours babysat.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the function.

Tags

CCSS.HSF-IF.C.7A

Front

How can you express a situation where a man descends from a height?

Back

The height can be expressed as y = 100 - 30x, where y is the height after x minutes.

Front

What is a real-world example of a linear function?

Back

An example is the cost of renting a car, which can be modeled as y = 0.75x + 35, where x is miles driven.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you interpret the coefficients in a linear equation?

Back

Coefficients represent the rate of change; for example, in C = 5h + 3, 5 is the cost per hour.

Tags

CCSS.HSF.LE.B.5