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 Graph 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 ? (1 point ) week 60 weeks 510 weeks 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
To solve this equation, we can graph both functions and find where they intersect.
In the same coordinate plane, plot the points for f(x) = 60 + 50x and g(x) = 2^x. The x-axis represents the number of weeks, and the y-axis represents the amount of money saved.
After plotting the functions, it appears that they intersect at approximately x = 9 weeks. Therefore, after approximately 9 weeks, Kelly and Eddie will have saved the same amount of money.
So, the answer is: After 9 weeks, rounded to the nearest integer, they will have saved the same amount of money.