Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 3x. Shannon 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 + 4. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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or would it just be (1,3)
the "x" is an exponent in the 2nd equation and you should write it y= 3^x
or use the equation editor
\[ y= 3^x\]
but that is hard to solve. You may not have learned how.
no I haven't
If you can read the point, it is (1,3)
as a double check, for *both* equations, put in x=1
what do you get for y?
g(x) = −x + 4
g(1)= -1+4 = 3 which works
f(1)= 3^1 which means 3
so that works also.
(It's always good to double check when you read a graph.. )
Thank you so much :)
*** explain what the solution represents***
the solution means when the temperature rises exactly 1 degree
then the number of people arriving matches the number leaving