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Mathematics 19 Online
OpenStudy (janu16):

Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 4x. Kylee also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

OpenStudy (janu16):

OpenStudy (janu16):

and its g(x)=-x+5 not f(x).. the question has a typo.

OpenStudy (welshfella):

you can read the solution from the graph - its the point where the graphs intersect

OpenStudy (janu16):

ohok but what does the solution means

OpenStudy (janu16):

and is the solution 1,4?

OpenStudy (welshfella):

it means that at the temperature where the graphs meet the number of people arriving at the park equals the number leaving.

OpenStudy (welshfella):

yes thats correct for the solution so at that temperature of 1 there are 4 people

OpenStudy (janu16):

ok thanks

OpenStudy (welshfella):

- or 4 hundred - it depends on the units of the ordinates

OpenStudy (janu16):

alright

OpenStudy (welshfella):

ok you are welcome

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