-Scale you will need to use

_______________________
| Height:3 |6 | 8 |10 |
|Burn time:45|80|120|150|
|_______________________|
The candle company wants a candle that will burn for the equivalent of 3 full days. Assuming the pattern continues, how tall should they make the candle? Round your answer to the nearest tenth of an inch.
a.
3.2 inches
c.
4.8 inches
b.
6.0 inches
d.
5.2 inches

I suspect a typo: 80 should be 90.

If so, then clearly, the burn time is just 15 times the height.

You don't say whether the time is in hours or minutes. I suspect minutes, but that will require quite a tall candle, if you figure out how many minutes there are in 3 days.

Judging by the choices, I guess the burn time is in hours. So, you want the height

h = 3*24/15

To determine the height of the candle that will burn for the equivalent of 3 full days, we need to find the burn time per inch.

First, we calculate the burn time per inch for each height by dividing the given burn time by the height:

Height: 3 inches, Burn time: 45 minutes
Burn time per inch = 45 minutes / 3 inches = 15 minutes per inch

Height: 6 inches, Burn time: 80 minutes
Burn time per inch = 80 minutes / 6 inches = 13.33 minutes per inch

Height: 8 inches, Burn time: 120 minutes
Burn time per inch = 120 minutes / 8 inches = 15 minutes per inch

Height: 10 inches, Burn time: 150 minutes
Burn time per inch = 150 minutes / 10 inches = 15 minutes per inch

Notice that for all the heights, the burn time per inch is 15 minutes. This pattern implies that the candle will burn at a constant rate regardless of height.

Since we want the candle to burn for the equivalent of 3 full days, which is 3 days × 24 hours per day × 60 minutes per hour = 4320 minutes, we can calculate the height of the candle as follows:

Height = Burn time / Burn time per inch
Height = 4320 minutes / 15 minutes per inch
Height ≈ 288 inches

Rounding the height to the nearest tenth of an inch, we get:

Height ≈ 288 inches ≈ 28.8 inches

Among the given answer choices, the closest height is option d., 5.2 inches. However, this answer is significantly different from the calculated height of approximately 28.8 inches. It is possible that the answer choices or the initial information may contain errors.