Acalculator shows that 2 ≈ 1.414 and 3 ≈ 1.732. use linear interpolation to estimate 2.2 . hint: find the number that is 0.2 of the difference between 1.414 and 1.732 and add this number to the smaller number, 1.414. round your estimate to the nearest thousandth.

Step-by-step explanation:

Given that a calculator shows that 2 ≈ 1.414 and 3 ≈ 1.732.

i.e. using calculators square root of irrational numbers are being found out.

We have

We have to find square root of 2.2

2.2 = 2+0.2

When 2 increases to 3 square root increases by 0.318

In the same rate if increase is there if 2 increases to 0.2 the increase would be

0.2*0.318 = 0.0636

Hence we can say that

Thus using linear interpolation we find that 2.2 has estimate for square root

as 1.4776.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.