Question

Write an exponential function in the form y=ab^xy=ab x that goes through points (0,2) and (3,128)

Answer 1

the desired exponential function is y=2(4^x

Explanation:

Write an exponential function in the form y=ab^x that passes through the points (0,2) and (3,128).To find an exponential function in the form y=ab^x that passes through the points (0,2) and (3,128), we first need to determine the values of a and b.Starting with the point (0,2), when x=0 we have:y=ab^0=a(1)=aTherefore, we know that the y-intercept (the value of a) is 2.Next, we can use the equation to solve for the value of b by plugging in the values of x and y for the second point (3,128):128=2b^3To find b, we need to solve for b. We start by dividing both sides by 2:64=b^3Then, we take the cube root of both sides:b=4Now we have both the value of a and the value of b to complete the equation y=ab^x:y=2(4^x)Therefore, the desired exponential function is y=2(4^x).

Answer 2

Answer: is a and for

c

Step-bKayla saves $110 to purchase a new outfit. She decides to buy a skirt for $29.65, a sweater for $38.32, and a purse for $31.00y-step explanation: