The values in the table represent the amount of water, \( y \), remaining in Raj's bathtub at different times, \( x \), since it started draining. Given that the bathtub drains at a rate of 1.5 gallons per minute, the function starts at \( y = 40 \) gallons when \( x = 0 \) minutes and decreases linearly.
From the table, the values of \( y \) are:
- At \( x = 0 \), \( y = 40 \)
- At \( x = 0.5 \), \( y = 39.25 \)
- At \( x = 1 \), \( y = 38.5 \)
- At \( x = 1.5 \), \( y = 37.75 \)
The \( y \)-values range from 37.75 to 40 gallons.
So, the range of the function is:
**All real numbers such that \( 37.75 \leq y \leq 40 \)**.
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.
What is the range of this function?
all real numbers such that y ≤ 40
all real numbers such that y ≥ 0
all real numbers such that 0 ≤ y ≤ 40
all real numbers such that 37.75 ≤ y ≤ 40
1 answer
1 answer