A riding-stable manager is planning a nutritional diet for 6 horses. The manager finds the table below in a guide about horse health. The cost of 1000 Calories of horse feed is $.15. What is the cost per day to feed the 6 horses? (Hint: First, try writing an expression for the number of daily Calories needed for h horses.

The Table:

Number of Horses| 1 | 2 | 3 | 4 |
Daily calories |15K|30K|45K|60K|

looks like calories (in Kcal) is

k = 15h
cost
c = .15k = 2.25h
c(6) = 13.50

K stands for thousand.

To find the cost per day to feed the 6 horses, we need to determine the daily calorie requirement for 6 horses and then calculate the cost based on the cost of 1000 calories of horse feed.

First, let's observe the pattern in the table. From the table, we can see that the number of daily calories increases linearly with the number of horses. For every additional horse, the number of daily calories increases by 15,000.

Based on this pattern, we can write an expression for the number of daily calories needed for h horses:

Number of daily calories = 15,000 * h

Now, we can substitute h = 6 into the expression:

Number of daily calories = 15,000 * 6
= 90,000 calories

The next step is to calculate the cost per day to feed the horses. We are given that the cost of 1000 calories of horse feed is $0.15.

To find the cost per day, we divide the total number of calories by 1000 to get the number of units of 1000 calories and then multiply by the cost per unit:

Cost per day = (Number of daily calories ÷ 1000) * Cost of 1000 calories
= (90,000 ÷ 1000) * $0.15
= 90 * $0.15
= $13.50

Therefore, the cost per day to feed the 6 horses is $13.50.