Respuesta :
The equation which is used to determine x, the number of people can go to the amusement park is [tex]134.75 = 12.50 + 24.50x[/tex]. So, the number of people who can go to the amusement park is 5.
What is linear equation in two variable?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
According to the given question.
The amount of money a group of friends have to spend, y = $134.75
Amount of charges they have to pay for parking = $12.25
Cost of ticket for one person = $24.50
Let there are total x number of friends in a group.
Therefore, the total cost of tickets for x friends = [tex]$24.50x[/tex]
So, the linear equation in two variable which is used to determine number of friends/people who can go to the park is given by
[tex]y = 12.25 + 24.50x[/tex]
Substitute the value of y = 134.75 in the above equation.
⇒[tex]134.75 = 12.25 + 24.50x[/tex]
⇒[tex]134.75-12.25 = 24.50x[/tex]
⇒ [tex]122.5 = 24.50x[/tex]
⇒ [tex]x = \frac{122.5}{24.50}[/tex]
⇒[tex]x = 5[/tex]
Thus, 5 people can go to the amusement park.
Hence, the equation which is used to determine x, the number of people can go to the amusement park is [tex]134.75 = 12.50 + 24.50x[/tex]. So, the number of people who can go to the amusement park is 5.
Find out more information about linear equation in two variable here:
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