The senior classes at High School A and High School B planned separate trips to the county fair.
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Answer:
15 games.
Step-by-step explanation:
Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?
Given: Admission fees= $1.25 per person.
Cost of each game played= $0.50.
Total Money, Latoya and Donnetta have is $10.
First lets find total admission fees both will pay.
∴ Total addmission fees=
Total addmission fees=
Now, money remaining after paying admission fees.
Money remaining =
∴ Money remaining =
∴ Money remained to play video games is $7.5.
Next, finding the maximum number of games, both will be able to play.
As we know, each game will cost $0.50.
Total number of games played=
⇒ Total number of games played=
∴ 15 games is the maximum number of games they will be able to play.
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-