An amusement park charges $8 for parking in addition to $1.25 per ride ticket. Write an equation to represent the total cost to visit the amusement park, then find the number of rides a person can go on, if they have $30. Identify your variables.

Amount of rides = (30 - 8)/1.25

c = 8 + 1.25r

the unit used is dollars

r = the amount of ride tickets purchased

c = total cost

a person could could go on 17 rides with 30$

Step-by-step explanation:

To develop the equation:

1. first, you want your total cost on one side. That is c (c =)

2. second, you need to identify the variable that changes the cost in the equation. That would be the amount of ride tickets because it changes the total cost based on how many a person buys. (c = 1.25r)

3. third, you add the variable that never changes, which is the eight dollars for parking (c = 1.25r +8)

In order to solve for a specific amount of money, you plug in the amount in place of your total cost (c) variable. In this case, you would solve 30 = 8 + 1.25r

It would look something like this:

30 = 8 +1.25r

(subtract 8 from both sides)

22 = 1.25r

(divide each side by 1.25)

r = 17.6

(round down because you can't buy a ride ticket with only 60 cents)

and you're done!

hope that helps!

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

show da graph

step-by-step explanation: