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In the following exercises, solve
635. The price that Tyler pays for gas varies directly with the number of gallons he buys. If 24 gallons cost him $59.76, what would 30 gallons cost?

Respuesta :

Answer:

The cost of 30 gallons of gas is $74.7.

Step-by-step explanation:

  • Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.
  • The cost 24 gallons is $59.76 to him.
  • Now we need to find the cost of 30 gallons.
  • To solve this problem use a direct variation formula.
  • Solve for constant variation.

Step 1 of 3

Here we need to find the cost of 30  gallons.

Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.

The cost of 24  gallons is $59.76  to him.

Let, x  be the number of gallons and y  be the cost or price for gas.

Use the formula for direct variation which is given by y=kx.

Step 2 of 3

Now substitute the value y=$59.76 and x=24.

Put value in y=kx, we get

[tex]$\begin{aligned}&59.76=k \times 24 \\&k=2.49\end{aligned}$[/tex]

Substitute value of k is y=kx, we get y=2.49x

Step 3 of 3

Now we need to find the value of y that is the cost for 30 gallons.

Again use direct variation formula y=kx and value of k and x, we get [tex]$y=2.49 \times 30$[/tex]

[tex]$y=74.7$[/tex]

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