Question

Two companies offer river tubing trips.
• The first company charges $7.50 rental fee for the tube and $3.00 an hour.
• The second company charges $10.50 rental fee for the tube and $2.00 an hour.
What is the minimum number of hours a person would need to rent a tube in order for
the second company to be a better deal?

Answer 1

Minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

What is a mathematical model?

A mathematical model is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

Two companies (first and second) offers river tubing trips and the rates of them are as follows: The first company charges $7.50 rental fee for one tube, with a charge of $3.00 an hour.

For the x hours, the charge of the company is,

7.50+3.00x

The second company charges $10.50 rental fee for one tube with a charge of $2.00 an hour. For the x hours, the charge of the company is,

10.50+2.00x

Let x is the hour at which the cost of both companies are equal. Thus,

7.50+3.00x=10.50+2.00x

3x-2x=10.5-7.5

x=2.5

Thus, the minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

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