The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
-- the cost of renting a cooler
--- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:
So, we have:
Evaluate the products
Hence, the equation is
Read more about linear functions at:
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Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Answer: 7.25 gallons
Step-by-step explanation:
Convert 13¹/₂ to a whole number with a decimal:
= 1/2 = 0.5
= 13.5 gallons of gas
If the gas reduces by 6.25 gallons, the amount of gas remaining will be:
= Starting amount - Amount reduced by
= 13.5 - 6.25
= 7.25 gallons