The following values represent exponential function ƒ(x) and linear function g(x). ƒ(1) = 2 g(1) = 2.5
ƒ(2) = 6 g(2) = 4
a. determine whether or not there is a solution to the equation in 2-3 sentences describe whether there is a solution to the equation ƒ(x)=g(x) between x=1 and x=2. b. use complete sentences to justify your claim

There does not exist any solution of as thir graphs do not intersect.

Step-by-step explanation:

We are given that,

The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.

That is, we get,

So, the function f(x) is .

Moreover, the values of the linear function g(x) are g(1) = 2.5  and g(2) = 4.

That is, the slope = = 1.5

Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,

i.e. b= 1

Thus, the function g(x) is .

Consider,

i.e.

Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.

Thus, there is no solution of the equation .

bull

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt