Question

For another question, Nancy needs her to mark the numbers 1 and -14 on the number line. How many spaces does she need between 1 and 2, and between -1 and -2, so that she can mark 0 and -15?

a) -2
b) 0
c) 1
d) 2

Answer 1

Nancy needs one space between each consecutive integer on the number line to place both 0 and -15. For the electric-field lines question, a charge of +20 nC should have 20 field lines, which is proportional to a +5 nC charge having five field lines.

Step-by-step explanation:

The question originally asks how many spaces Nancy needs between the number 1 and 2, and between -1 and -2 on a number line to include both 0 and -15. To answer this, we must realize that each integer value on the number line is a space apart, meaning there is always one space between consecutive integers. Therefore, Nancy needs one space between 1 and 2, and also one space between -1 and -2, in order to correctly place both 0 and -15 on her number line.

If we consider the included information, and a question about electric-field lines, the number of electric-field lines that represent a charge is proportional to the magnitude of the charge. If a +5 nC charge has five field lines, then a +20 nC charge should have four times as many because 20 nC is four times greater than 5 nC. This means that the +20 nC charge should have 5 x 4 = 20 field lines.