Willow2190
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PLEASE HELP ASAPPPPPP

Write an equation for each boat rental company that gives the cost in dollars y of renting a kayak for x hours. What is the difference in cost between the company that charges the most and the one that charges the least for 4 hours?

A table titled Company A with two columns and five rows is shown. The first column is the number of hours. The second column is the total cost in dollars. For two hours, the cost is thirty-three dollars. For three hours, the cost is forty-nine dollars and fifty cents. For four hours, the cost is sixty-six dollars. For five hours, the cost is eighty-two dollars and fifty cents.

Company B The cost y of renting a kayak for x hours is $9.00 for each half hour.
Company C The cost y of renting a kayak is $14.25 per hour.

Respuesta :

Using linear functions, the costs are given as follows:

  • A(x) = 16x + 1.
  • B(x) = 18x.
  • C(x) = 14.25x.

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For Company A, we have two points on the column: (2, 33), (3, 49). Hence for one additional hour, the cost increased by $16, hence the slope is of 16 and:

A(x) = 16x + b.

When x = 2, A(x) = 33, hence we use it to find b as follows:

33 = 16(2) + b

b = 1.

Hence:

A(x) = 16x + 1.

Companies B and C have intercepts of 0, while the slopes are hourly costs, hence:

  • B(x) = 18x -> 9 for each half hour = 18 for an hour.
  • C(x) = 14.25x.

For 4 hours, the costs are given as follows:

  • A(4) = 16(4) + 1 = 65.
  • B(4) = 18(4) = 72.
  • C(4) = 14.25(4) = 57.

The difference is:

72 - 57 = 15.

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

More can be learned about linear functions at https://brainly.com/question/24808124

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