Respuesta :
Answer:
3 gallons of diesel weighs 22.2 pounds.
The constant of variation is 7.4
The quantities vary directly
Step-by-step explanation:
37/5=7.4 (constant of variation)
7.4*3=22.2
The quantities vary directly because if the amount of gallons go down, so do the pounds. And direct is if x lowers, so does y.
Answer:
a) 22.2 pounds
b) The quantities vary directly
c) The constant (k) = 7.4
Step-by-step explanation:
5 gallons of diesel weighs 37 pounds
1 gallon of diesel will weigh 37/5 = 7.4 pounds
This means 37 = 7.4(5)
To find n gallons, we have 7.4*n
a) 3 gallons weigh 3 *7.4 = 22.2 pounds
b) Recall that for variation,
if x is directly proportional to y
(x α y) , x = ky (k is a constant)
If x is inversely proportional to y,
(x α 1/y) , x = k/y ( k is a constant)
Comparing the options for variation to 37 = 7.4(5), the quantities of weight and volume are directly proportional
c) The constant of the variation = 7.4
