# A tank with some water in it begins to drain. The function v(t)=53−2.7t 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 value of the vertical intercept of the function v, and what does this value represent in the context of the problem? The vertical intercept is 53, and it represents the number of gallons of water in the tank when it starts draining. The vertical intercept is 53, and it represents how many minutes it takes for all of the water to drain from the tank. The vertical intercept is 19.63, and it represents the number of gallons of water in the tank when it starts draining. The vertical intercept is 53, and it represents the weight of the tank when it is empty. The vertical intercept is −2.7 and it represents the time value when the tank is full.

Question

A tank with some water in it begins to drain. The function v(t)=53−2.7t 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 value of the vertical intercept of the function v, and what does this value represent in the context of the problem?

• The vertical intercept is 53, and it represents the number of gallons of water in the tank when it starts draining.
• The vertical intercept is 53, and it represents how many minutes it takes for all of the water to drain from the tank.
• The vertical intercept is 19.63, and it represents the number of gallons of water in the tank when it starts draining.
• The vertical intercept is 53, and it represents the weight of the tank when it is empty.
• The vertical intercept is −2.7 and it represents the time value when the tank is full.

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

### Functions 