Respuesta :
there is no pretty way to solve. you just have to plug in each answer and see if it is true. I dont have a calculator that will solve natural log but I will get you started in the right direction.
a. if initially there are 100 that means if x is 0 y will be 100. when x is 0 we end up with 1000/10 as this is 100 that is correct.
b. plug in x as 11 and see what you get for f(x) then plug in 10 for x and calculate. subtract the two. if their difference is 42 b is also true.
c. I dont believe this is true. I dont see anything in the equation that would change between an x value of 8 and say 10. you can use desmos.com to graph it. if the graph starts to decrease around x=9 then it is true but i dont believe it will.
d. plug in 15 for x if this gives you 1050 then d is also true.
sorry i couldn't be of more help. but all you need to do is follow the steps using a graphing calculator and it should be pretty straight forward!
a. if initially there are 100 that means if x is 0 y will be 100. when x is 0 we end up with 1000/10 as this is 100 that is correct.
b. plug in x as 11 and see what you get for f(x) then plug in 10 for x and calculate. subtract the two. if their difference is 42 b is also true.
c. I dont believe this is true. I dont see anything in the equation that would change between an x value of 8 and say 10. you can use desmos.com to graph it. if the graph starts to decrease around x=9 then it is true but i dont believe it will.
d. plug in 15 for x if this gives you 1050 then d is also true.
sorry i couldn't be of more help. but all you need to do is follow the steps using a graphing calculator and it should be pretty straight forward!