Determine the equation for the total cost of snow tubing, the rest of the chart:
1 answer:
Step-by-step explanation:
Notice how you get the same value each time when you divide the cost by the number of downhill rides
- 5/2 = 2.5
- 10/4 = 2.5
- 15/6 = 2.5
Moreover when the downhill rides grow by 2 the total cost grows by 5
so we can state :
- n+2 ⇒c+5
- 0+2 ⇒ 0+5
- 0+6 ⇒0+ (3*3)
To complet the chart we can use the proportionaliyu relation:
- 2⇒5
- 20⇒ C
- c =
= 50
so 20 goes with 50
same method:
- 2⇒5
- 25⇒ C
- C =
=62.5
so 25 goes with 62.5
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Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.