Which is a valid prediction about the continuous function
f(x)?

The answer is 10 5/8

Step-by-step explanation:

To determine fraction of a decimal, we take the decimal point as 1 and then the numbers after succeeding it as Zeros.

So we have 10.625, from the explanation above, .625 means 1000

place 625 over 1000, you have 10 625/1000

Reducing 625/1000 to its minimal fraction, we will first reduce the fraction by 5 since 625 and 1000 are multiples of 5, which means 625 divide by 5 over 1000 divide by 5

We have 125/200

It is not yet at its minimal, 125 and 200 are still multiple of 5, so reduce both by 5 again, we will have 25/40

25/40 can still be reduced by 5, you will have 25 divide by 5 over 40 divide by 5,

you have 5/8, since there is no common multiple between 5 and 8, then the lowest fraction of the decimal 10.625 is 10 5/8