College

Question 1

Sami has a gas-powered model boat with a 5-oz gas tank. The boat will run for 2.5 minutes on each ounce of gas. The number of minutes he can operate the boat is a function of how much gas is in the tank.

(a) Define the variable.
(b) Write this relationship in equation form.
(c) Determine the domain and range of the function in this context.

Answer :

The variables are number of ounces and total amount of time

The relationship in equation form is y = 2.5x,

The domain is 0 to 5-oz gas tank and the range is 0 to 12.5 minutes

(a) Define the variable

To do this, we make use of the following variables

  • x represents the number of ounces
  • y represents the total amount of time

(b) write this relationship in equation form

From the question, we have

Rate = 2.5 minutes per ounce

When represented as an equation, we have

y = 2.5x

(c) determine the domain and range of the function in this context.

From the question, we have

Size = 5-oz gas tank

This means that the domain is 0 to 5-oz gas tank

For the range, we have

y = 2.5 x 5

Evaluate

y = 12.5

This means that the range is 0 to 12.5 minutes

Read more about domain and range at

https://brainly.com/question/2264373

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