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Sagot :
Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For the functions in this problem, we consider that:
- The entrance fee is the intercept.
- The cost for carnivals(games/rides) is the slope.
Hence the cost functions for Kiara and Donovon are given, respectively, by:
- K(x) = 5 + 0.75x.
- D(x) = 7 + 0.5x.
The costs will be the same when:
K(x) = D(x)
5 + 0.75x = 7 + 0.5x.
0.25x = 2
x = 2/0.25
x = 8.
They have to buy 8 tickets for the costs to be the same.
More can be learned about linear functions at https://brainly.com/question/24808124
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