Jerry goes to a theme park to ride the roller coasters. The theme park charges an entry fee in addition to a fee for each roller
coaster ride. The table below represents the total price for two different numbers of roller coaster rides.
2 answers:
Answer:
Price for entry fee is $15, and price for each ride is $4.
Step-by-step explanation:
We have to tell how much it is for the entry fee and how much for each ride?
Let the price for roller coaster ride be = x
Let the price for the entry fee be = y
Looking at the table, we can form equations.
...(1)
....(2)
Now we will solve these. Subtracting equation 1 from equation 2.
x = 4
Substituting value of x in equation 1
Hence, y = 15
So, entry fee is $15
And price of per ride is $4
You might be interested in
Answer:
Step-by-step explanation:
The quadratic formula for a equation of form
ax²+bx + c = 0 is
For the first equation,
x²+3x-4=0,
we can match that up with the form
ax²+bx + c = 0
to get that
ax² = x²
divide both sides by x²
a=1
3x = bx
divide both sides by x
3 = b
-4 = c
. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.
Plugging our values into the equation, we get
as our possible solutions
Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.
Next, we have
x²+3x+4=0
Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus
Because √-7 is not a real number, this has no real solutions. However,
(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions
Finally, for
4x² + 1= 4x,
we can start by subtracting 4x from both sides to maintain the desired form, resulting in
4x²-4x+1=0
Then, a=4, b=-4, and c=1, making our equation
Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution