Reuben rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 98 cents for each mile driven. Reuben had to pay $302.21 when he returned the truck. For how many miles did he drive the truck?

Respuesta :

The number of  miles did Reuben drive the truck, with the base fee of $20.95, and an additional charge of 98 cents for each mile driven is 287 miles.

What is the equation of variable?

The variable is the unknown part of the equation. Variable changes withe change in the quantities for any situation.

Properties of a equation-

  • Equations are the expressions which consist of the variables, coefficients of variables and constants.
  • The equations are used to represent the general problem in the mathematical way to solve them.
  • The equation is used to show the relationship between the variables of the equation and the quantities in a situation.

Reuben rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 98 cents for each mile driven.

Reuben had to pay $302.21 when he returned the truck. Suppose the Reuben drive the truck for x miles. Thus,

[tex]20.95+0.98x=302.21[/tex]


Solve the equation to find the number of miles he drives,

[tex]0.98x=302.21-20.95\\0.98x=281.26\\x=\dfrac{281.26}{0.98}\\x=\dfrac{281.26}{0.98}\\x=287[/tex]

Thus, the number of  miles did Reuben drive the truck, with the base fee of $20.95, and an additional charge of 98 cents for each mile driven is 287 miles.

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