Function: Word Problems

Bob has a lot of gold bars that he has to carry. The weight of 1 gold bar is 27.4 pounds.

What is the independent variable?

Bob has a lot of gold bars that he has to carry. The weight of 1 gold bar is 27.4 pounds.

What is the Dependent variable?

Bob has a lot of gold bars that he has to carry. The weight of 1 gold bar is 27.4 pounds. Let x represent the number of gold bars.

Which function will represents the total weight?

Bob has a lot of gold bars that he has to carry. The weight of 1 gold bar is 27.4 pounds. Let x represent the number of gold bars.

What represents the limits of the domain?

Bob has a lot of gold bars that he has to carry. The weight of 1 gold bar is 27.4 pounds. Let x represent the number of gold bars.

If Bob has no more than 2 gold bars which inequality represents the range?

A resort hotel charges 12.5% in taxes. Additionally, they charge a $25 resort fee. (The resort fee is not subject to sales tax.)

The following functions represent the situation:

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f(a)=1.125a

g(b)=b+25

What does the variable "a" represent?

A resort hotel charges 12.5% in taxes. Additionally, they charge a $25 resort fee. (The resort fee is not subject to sales tax.)

The following functions represent the situation:

​

What does the variable "b" represent?

A resort hotel charges 12.5% in taxes. Additionally, they charge a $25 resort. (The resort fee is not subject to sales tax.)

The following functions represent the situation:

What does f(a) represent?

A resort hotel charges 12.5% in taxes. Additionally, they charge a $25 resort. (The resort fee is not subject to sales tax.)

The following functions represent the situation:

What does g(b) represent?

Find g(f(a))

​ A resort hotel charges 12.5% in taxes. Additionally, they charge a $25. (The resort fee is not subject to sales tax.)

The following functions represent the situation:

The cost of the hotel room without sales tax or the resort fee is $300. What is the total cost of the hotel stay.

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

What is the independent variables?

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

Write a cost function.

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

Write a revenue function.

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

Write a profit function.

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

Simplify the expression P(x) = R(x) - C(x)

The student government association is selling roses for Valentine’s Day to raise money for their trip to the state convention. The cost of each rose is $1.50 and the florist charges a delivery fee of $25. The class plans to sell the roses for $5.00 each.

If the florist will provide no more than 120 roses which inequality represents the profit range?