Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve 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 + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

x: temperature

f(x): number of people who are in the park

g(x): number of people leaving early.

if we solve them,

we set f(x)=g(x)

this means, the point of intersection is the temperature at which ALL the people in the park leave early

The new function that was from a combination of two functions is N = a^t -(mt + b). N is the total number of visitors. The first function is the representation of the number of visitors that increases exponentially through time. Second equation is linear which was derived from y= mx + b.

Step-by-step explanation:

since both sides equal, there are infinitely many olutions.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet