16. (02.06 MC) The double number line below shows the approximate number of pounds in a certain number of kilograms:
1
2
3
Kilograms
3
5
7
Pounds
Based on the number line, about how many pounds are there in 4.5 kllograms? (1 point)
8
10
O 11

10

Step-by-step explanation:

First find the slope. putting pounds over kilograms

m = ( y2-y1)/(x2 -x1)

m = (7-5)/(3-2)

   = 2/1

Using the slope intercept form of a line

y = mx+b

y = 2x+b  where y is the pounds and x is the kilograms

Substitute a point into the equation to get b

3 = 2(1) +b

3 =2+b

1 =b

y = 2x+1

We want to know how many pounds for 4.5 kilos

y = 2*4.5 +1

y = 9+1

y = 10

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6