Question

The level of honey h in a tank is 4 ft. It decreases every hour by 2 inches. Which of the following represents the level of honey h depending on the number of hours t?

h=48-2t

h=4-2t

h=48+2t

h=4+2t

Answer 1

To find the correct equation that represents the level of honey \( h \) in the tank depending on the number of hours \( t \), we need to convert the initial height of honey from feet to inches, since the rate of decrease is given in inches.

1. **Initial Level of Honey**: The initial level of honey is 4 feet. We need to convert this to inches:
\[
4 \text{ feet} \times 12 \text{ inches/foot} = 48 \text{ inches}
\]
So, initially, \( h = 48 \) inches.

2. **Rate of Decrease**: The honey decreases by 2 inches every hour. Thus, after \( t \) hours, the decrease in height will be \( 2t \) inches.

3. **Equation Representation**:
- Since the honey decreases, we subtract \( 2t \) from the initial height:
\[
h = 48 - 2t
\]

Thus, the correct representation for the level of honey \( h \) depending on the number of hours \( t \) is:

\[
h = 48 - 2t
\]

The correct answer is: **h = 48 - 2t**.