Question

Find the equation of the exponential function, in y = a(b)form that passes through the points -23) 635. Round both an and b to the nearest hundredth. An algebraic method must be used for full credit.

Answer 1

The equation of the exponential function in y = a(b) form that passes through the point (-23, 635) is y = 609.62(0.99)^x.

Step-by-step explanation:

To find the equation of the exponential function in y = a(b) form that passes through the point (-23, 635), you can use the formula y = ab^x, where a is the initial value and b is the growth/decay factor.

Step 1: Substitute the given point into the equation to get the equation 635 = ab^(-23).

Step 2: Round a and b to the nearest hundredth.

Step 3: Solve for a by using the value of b from step 2 and the given point.

Step 4: Substitute the value of a from step 3 and the rounded value of b from step 2 into the equation to get the final equation.

The equation of the exponential function in y = a(b) form that passes through the point (-23, 635) is y = 609.62(0.99)^x.