Question

A chef is pouring oil from a large jug into equal-size bottles. This table shows the relationship between the number of bottles used and the volume of oil, in fluid ounces, in each bottle.How many fluid ounces per bottle are there if there are $b bottles?

Answer 1

step 1

Find the slope

Let

x -----> number of bottles

y -----> fluid ounces per bottle

so

we need two points

we take the points

(3,24) and (6,12)

the slope is equal to

m=(12-24)/(6-3)

m=-12/3

m=-4

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-4

point (3,24)

substitute

24=-4*3+b

24=-12+b

b=24-12

b=12

therefore

the linear equation is

y=-4x+12

therefore

y=-4x+12

where x is the number of bottles

For x=b

substitute

y=4b+12

therefore

the fluid ounces are (4b+12)