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A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3. 00 0. 50 m = 9. 50, where m represents the number of miles traveled. Which statement shows the meaning of the driver’s equation? Select two options. Three dollars added to $0. 50 is the same as $9. 50. Three dollars plus $0. 50 times the number of miles is equal to nine dollars and fifty cents. Three dollars more than the quotient of $0. 50 and the number of miles is nine dollars and fifty cents. The product of the number of miles and the sum of $3 and $0. 50 is equal to $9. 50. The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Sagot :

The statement, which shows the meaning of the taxi driver’s equation for the mileage and fee formula are statement B and E.

What is linear equation or formula?

Linear equation or formula is the equation in which the highest power of the unknown variable is one.

Given information-

The formula equation for the mileage is,

[tex]3.00+0.50m=9.50[/tex]

In the above formula the term m represents the number of miles traveled.

This formula written by the taxi driver shows the relation between the mileage and fee for his last customer. Using this expression the number of miles can be calculated as,

[tex]3.00+0.50m=9.50[/tex]

Subtract with 3 both the sides,

[tex]0.50m=9.50-3.00\\0.50m=6.50[/tex]

Divide by number 0.5 both the sides,

[tex]m=\dfrac{6.5}{0.5}\\m=13[/tex]

Thus, his last costumer traveled 13 miles.

The 13 times 0.5 plus $3 is equal to the $9.50 which means nine dollars and fifty cents. Thus the option B is the correct option.

The number of miles traveled by customer is 13 miles. 13 miles of 50 cent  is equal to $6.5. If we add three dollars in it the result will be equal to the nine dollars and fifty cents. Thus the option E is correct.

Hence, the statement, which shows the meaning of the driver’s equation, are,

  • B) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
  • E) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Learn more about the linear equation here;

https://brainly.com/question/14323743

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