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andriy [413]
4 years ago
13

The sign shows the costs associated with a whitewater rafting trip. Write an expression to determine the cost of 3 children and

1 adult renting equipment for a whitewater rafting trip that lasts h hours
Mathematics
1 answer:
vampirchik [111]4 years ago
8 0

Let us assume rent for a child = $x per hour and

Rent for an adult = $ y per hour.

We are given number of children = 3.

Number of adults = 1.

Rent for 3 children at the rate $x per hour = 3*x = 3x.

Rent for 1 adult at the rate $y per hour = 1*y = y.

We are given number of hours of rafting trip = h hours.

Total cost of 3 children and 1 adult for h hours =h times (Cost of 3 children and 1 adult for each hour).

= h*(3x+y).

Therefore, h(3x+y) is the final expression for the total cost of h hours of rafting trip.

If you are given values of x, y or h, you can plug those values in this expression.

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                                                 Table 1

Input (x)               1            3           5            5              9

Output (y)             7           16          19          20           28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 1, it is clear that:

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  • There is no duplicated input (repeated x value).

Therefore, Table 1 represents a function.

                                                Table 2

Input (x)               0.5          7           7            12            15

Output (y)             7           15          10          23           30

 

We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 2, it is clear that:

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As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.

Therefore,  Table 2 does not represent a function.

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