Mr James gives £500 to his children Ally, Barry and Cat in the ratio 2:3:5.
How much do they each receive?

Answers:

Work Shown:

x = some positive real number

2x = amount Ally gets

3x = amount Barry gets

5x = amount Cat gets

Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.

Add up the parts and you should get a sum of 500 pounds. Solve for x.

2x+3x+5x = 500

10x = 500

x = 500/10

x = 50

Based on that x value, we then can say:

As a check, 100+150+250 = 500.

Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.

Those two facts help confirm our answers.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

i think the answer would be c