3. Kelly and eddie are each saving money for a motorcycle the total amount of money in dollars that kelly will save over x weeks is modeled by the function f(x)=60+50x the total amount of money in dollars that eddie will save over x weeks is modeled by the function g(x) =2^x gragh the functions in the same coordinate plane to determine when f(x)=g(x) after how many weeks rounded to the nearest integer will they have saved the same amount of money. 510 60 1 9 weeks
To find when f(x) = g(x), we need to set the two functions equal to each other and solve for x:
60 + 50x = 2^x
Now, we can use trial and error to find the value of x that satisfies this equation. We can start by plugging in some values for x and see when the two functions are equal:
When x = 1:
60 + 50(1) = 2^1
110 ≠ 2
When x = 2:
60 + 50(2) = 2^2
160 = 4
When x = 3:
60 + 50(3) = 2^3
210 ≠ 8
When x = 4:
60 + 50(4) = 2^4
260 ≠ 16
When x = 5:
60 + 50(5) = 2^5
310 ≠ 32
When x = 6:
60 + 50(6) = 2^6
360 = 64
Since we see that the two functions are equal when x = 6, the answer is 6 weeks rounded to the nearest integer. Therefore, Kelly and Eddie will have saved the same amount of money after 6 weeks.