Question

A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length?

Answer 1

34 inches.

Explanation:

Consider the below graph attached with this question.

The graph below shows the number of beads on varying cord lengths.

From the below graph it is clear that the equation of best fit line is

`y=2.52x+1.61`

We need to find the best estimate for the cord length if the necklace contains 88 beads.

Substitute y=88 in the above equation.

`88=2.52x+1.61`

`88-1.61=2.52x`

`86.39=2.52x`

Divide both sides by 2.52.

`(86.39)/(2.52)=x`

`34.281746=x`

`x\approx 34`

Therefore, the estimated cord length is 34 inches.