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The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.

a: Write an equation that represents the situation
b: interpret the slope.

Respuesta :

HamiltonandBurr
Y= 9x. If 27 dollars is the cost for 3 hours, finding the price for one hour is simple. You would take the cost divided by the time. The slope would be 9 because if you graphed (1,9) (2,18) and (3,27) [the costs per the hours] you could find that, what I use, rise over run. Basically, you can count how far from two points to get slope. Starting with the y, from 9 to 18 is 9. Then, with x, 2 to 1 is 1. So, the slope is 9/1 or 9

(a) Equation that represents the situation is [tex]y = 9x[/tex]

(b) Slope of the equation (2) is 9

The cost of renting Kayak = $y

The time for the Kayak is rented = x Hours

According to question

[tex]y \; \alpha\; x[/tex]

[tex]y = kx[/tex]....(1)

where k is the Constant of Proportionality

Also Given  Rent of 3 Hours  which  is  $27

Putting these values in equation (1) we get

[tex]27=3k\\\\k= 9[/tex]

So the  Equation (2)  represents the  situation  

[tex]y = 9x[/tex]......(2)

Equation for line is  

[tex]y= mx+c \\m = Slope\; of\; the \; line\\ c= intercept \; on\; y\; axis[/tex]

On comparing with equation of line we get

Slope of the equation (2) is 9  

For more information please refer to the link below

https://brainly.com/question/20632687

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