Writing Function Rules Word Problems

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between two quantities, typically in the form of an equation.

Front

How do you write a function rule for a constant rate?

Back

To write a function rule for a constant rate, multiply the rate by the variable representing time or quantity. For example, if the rate is $10 per hour, the function rule is C = 10h.

Front

What does the variable 'h' represent in function rules related to time?

Back

In function rules related to time, 'h' typically represents the number of hours.

Front

How do you represent a decrease in temperature over time with a function rule?

Back

To represent a decrease in temperature, subtract the product of the rate of decrease and time from the initial temperature. For example, T = initial temperature - rate * h.

Front

What is the function rule for a gym membership that costs $30 per month?

Back

C = 30m, where C is the total cost and m is the number of months.

Front

How do you express a total cost that includes a flat fee and a variable cost?

Back

The total cost can be expressed as C = flat fee + (variable cost per unit * number of units). For example, C = 50 + 20d for a car rental.

Front

What is the function rule for a temperature that increases by 5 degrees every hour starting from 70 degrees?

Back

T = 70 + 5h, where T is the temperature after h hours.

Front

What does the term 'initial value' mean in function rules?

Back

The initial value is the starting point of a function before any changes occur, often represented as a constant in the function rule.

Front

How do you write a function rule for a situation where a quantity decreases over time?

Back

To write a function rule for a decreasing quantity, subtract the product of the rate of decrease and time from the initial quantity.

Front

What is the function rule for renting a bicycle at $10 per hour?

Back

C = 10h, where C is the total cost and h is the number of hours rented.