Question

When Gavin left his house in the morning, his cell phone battery was partially charged. The charge remaining

in Gavin's battery, as a percentage, can be modeled by the equation B = 28 - 7t, where t is the number of
hours since Gavin left his house. What is the y-intercept of the equation and what is its interpretation in the
context of the problem?

Answer Attempt 1 out of 2

The y-intercept of the function is ……
which represents …..

FEE

Answer 1

Explanation:

The y-intercept of the equation B = 28 - 7t is the value of B when t is equal to 0. To find the y-intercept, we substitute 0 for t in the equation.

B = 28 - 7(0)

B = 28 - 0

B = 28

Therefore, the y-intercept of the equation is 28.

In the context of the problem, the y-intercept represents the initial charge level of Gavin's cell phone battery when he left his house. Since the value of B represents the charge remaining in the battery as a percentage, the y-intercept of 28 indicates that when Gavin left his house, his cell phone battery was fully charged at 100%.