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When Jason left his house this morning, his cell phone was 40% charged and it then started to lose 4% charge for each hour thereafter. Write an equation for B, commaB, in terms of t, commat, representing the charge remaining in Jason's battery, as a percentage, tt hours after Jason left his house.
Number of Hours Since Jason Left His House Percentage Charge Remaining on Phone Battery
00
11
22
33

Answer 1

To represent the charge remaining in Jason's battery as a percentage after \( t \) hours, we can use the following equation:

\[
B(t) = 40 - 4t
\]

Where:
- \( B(t) \) is the battery percentage remaining after \( t \) hours.
- 40 represents the initial charge percentage when Jason left his house.
- \( 4t \) represents the amount of charge lost, calculated at a rate of 4% per hour.

Next, we can fill in the table with values for \( t = 0, 1, 2, \) and \( 3 \) hours:

| Number of Hours Since Jason Left His House | Percentage Charge Remaining on Phone Battery |
|--------------------------------------------|---------------------------------------------|
| 0 | \( B(0) = 40 - 4(0) = 40 \) |
| 1 | \( B(1) = 40 - 4(1) = 36 \) |
| 2 | \( B(2) = 40 - 4(2) = 32 \) |
| 3 | \( B(3) = 40 - 4(3) = 28 \) |

So the completed table looks like this:

| Number of Hours Since Jason Left His House | Percentage Charge Remaining on Phone Battery |
|--------------------------------------------|---------------------------------------------|
| 0 | 40 |
| 1 | 36 |
| 2 | 32 |
| 3 | 28 |