A 300-liter tank initially contains 175 liters Of Fuel. A pump empties the tank at a rate of 7.5 Liters per minute. which of these represents a function that models the number of liters of fuel in the tank after X minutes

Option (D)

Step-by-step explanation:

Rate of emptying the fuel tank = 7.5 liters per minute

Fuel emptied in x minute = 7.5x liters

Volume of the fuel in the fuel tank initially = 175 liters

Therefore, amount of fuel left in the tank after x minutes = (175 - 7.5x) liters

Function representing the emptying of the fuel tank will be,

f(x) = 175 - 7.5x

Option (D) will be the answer.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

step-by-step explanation: