Answer:
The answer is the 2nd choice
Step-by-step explanation:
Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
The fraction always converts to a terminating decimal with 16 as the denominator. The dividing operation by 2 always leads to an integer or a terminating decimal. Therefore, a fraction with 16 as the denominator always converts to a terminating decimal because 16 is an exponential number of 2 (16= 2^4)<span>.</span>
M<A= 115
m<B=50
i am sure of the answer
