Question

Question 4 of 5

Select the correct answer.
On a number line, point A is at -3.4 and point C is at 0.6. Point C divides AB in a ratio such that AC to CB is 4:7. What is the length of
AB?
O
AB = 4.2 units
AB = 11 units
AB= 2.8 units
AB= 7.6 units

Answer 1

11 units

Explanation:

correct on plato

Answer 2

AB = 11 units

Explanation:

a given ratio also tells us how many equally sized units there are in the whole (in this case the line).

the ratio 4:7 tells us therefore, that from the whole line 7 ratii units (of 7+4 = 11 ratio units) are on the side of CB.

4 ratio units (of the 11 ratio units) are on the side of AC.

AC is the distance between A and C.

that is

0.6 - -3.4 = 0.6 + 3.4 = 4 line units

aha ! the distance is 4 units on the number line, and the ratio tells us that AC is 4 ratio units.

so, line unit and ratio units are 1:1 the same.

that means that CB with 7 ratio units is then also 7 line units long.

so, the whole line AB is then 4 + 7 = 11 line units long.