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A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour. (1 point)
A• 2
B• 8
C• 4
D•3

Respuesta :

calculista

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

[tex]y=24.00+2.25x[/tex] ---------> equation [tex]1[/tex]

Second Jet Sky Company

[tex]y=23.00+2.50x[/tex] ---------> equation [tex]2[/tex]

we know that

To find the number of hours for which the costs are the same

equate equation [tex]1[/tex] and equation [tex]2[/tex]

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is [tex](4,33)[/tex]

That means

For [tex]x=4\ hours[/tex]

the cost of the rent is [tex]y=\$33[/tex] in both companies

therefore

the answer is

[tex]4\ hours[/tex]

Ver imagen calculista
aksnkj

For 4 hours of booking, the charges paid to both the companies should be same. And the charge will be $ 30.

Let x be the number of hours of booking per jet ski.

First company charges $24.00 plus $2.25 per hour to rent a jet ski.

So, the total cost paid for x hours to the first company will be,

[tex]C_1=24+2.25x[/tex]

Second company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.

So, the total cost paid for x hours to the second company will be,

[tex]C_2=23+2.5x[/tex]

Now, the charge paid to both the companies should be same. For this condition, the number of hours of booking per jet ski should be,

[tex]C_1=C_2\\24+2.25x=23+2.5x\\1=0.25x\\x=4[/tex]

Therefore, for 4 hours of booking, the charges paid to both the companies should be same. And the charge will be,

[tex]24+2.25\times4=\$33[/tex].

For visuals, refer the attached graph.

For more details, refer the link:

https://brainly.com/question/18226800?referrer=searchResults

Ver imagen aksnkj