## Math Problem Statement

# A tank with some water in it begins to drain. The function v ( t )

40 − 3.5 t determines the volume of the water in the tank (in gallons) given a number of minutes t since the water began draining.

What is the vertical intercept of v ?

What does the v -coordinate of your answer to part (a) represent? Select all that apply.

The weight of the tank when it is empty The number of gallons of water in the tank when it starts draining How many minutes it takes for all of the water to drain from the tank List all horizontal intercepts of v .

What does the t -coordinate of your answer to part (c) represent? Select all that apply.

How many minutes it takes for all of the water to drain from the tank The weight of the tank when it is empty The number of gallons of water in the tank when it starts draining

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Functions

Intercepts

Algebra

### Formulas

Linear equation: v(t) = 40 − 3.5t

### Theorems

Intercepts of a linear function

### Suitable Grade Level

Grades 7-9

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