Question

Debbie finds an old manual television in her grandfather's basement. She notices the numbers on the dial are not evenly spaced and determines there is an exponential relationship. She finds an equation that models the the number of clicks she has to turn the dial (x) to the television station she ends up on (y): y = 2(1.2599)x. If she turned the dial 25 clicks, what station would she end up on? Does this make sense?

Answer 1

31.4975 1.2599 x by 25

Answer 2

`y =6.34907380148`

Explanation:

Debbie finds an equation that models the the number of clicks she has to turn the dial (x) to the television station she ends up on (y)

Equation :
`y = 2(1.2599)^x`

Now we are given that she turned the dial 25 clicks .

So substitute x = 25 in equation.

`y = 2(1.2599)^(25)`

`y =6.34907380148`

So, If she turned the dial 25 clicks, she would end up on Station 6.34907380148.

Since for every dial there is an station that has been assigned .

So, for 25 clicks the station is 6.34907380148.

Hence it makes sense.