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Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per ride. Which function can be used to determine how much money he has left over after x rides?

Respuesta :

Easy, if he has $90 in ALL

and he spends $5 and $15

$20 in total

take, 90-20=70

So now he only has $70 left.

If each ride costs $1.50, then he's losing money.

So, y=-1.50x+70

So around the 47th ride he will have no more money.

Answer:

[tex]f(x)=70-1.5x[/tex] or [tex]f(x)=-1.5x+70[/tex]

Step-by-step explanation:

Money taken to the fair = $90

Money spent to enter the fair = $5

Money spent on food =$15

Total he spent now is given by : [tex]5+15=20[/tex] dollars

Let the number of rides be = x

And he spends $1.50 on each ride, so total money spent on rides = [tex]1.50x[/tex]

Total money including rides can be shown as:

[tex]20+1.50x[/tex]

Now money left after this will be [tex]90-(20+1.50x)[/tex]

=[tex]70-1.50x[/tex]

Let f(x) denotes the function used to determine the money left after rides,

[tex]f(x)=70-1.5x[/tex] or [tex]f(x)=-1.5x+70[/tex]