Question

This table shows equivalent ratios.What are the values of a and b?
a = 5,
b = 20a = 6 ,
b = 12a = 8 ,
b = 12a = 6 ,
b = 15
Table
x y
0.5 0.4
2 1.6
a 4.8
12 9.6
15 b

Answer 1

I'm pretty sure it is a=6 b=12
Hope this helps

Answer 2

ANSWER

$a = 6,b = 12$
EXPLANATION

Since the table represents an equivalent ratio, the ratio x:y is the same for all.

This implies that,


$a:4.8=0.5:0.4$


We change all the ratios to fractions to obtain,

$\frac{a}{4.8} = \frac{0.5}{0.4}$

We multiply both sides by 4.8 to get,

$a = \frac{0.5}{0.4} \times 4.8$

$a = \frac{5}{4} \times \frac{48}{10}$


$a = \frac{1}{1} \times \frac{12}{2} = 6$


Similarly,


$15:b=0.5:0.4$

We change the ratios to fractions to obtain,

$\frac{15}{b} = \frac{0.5}{0.4}$

This implies that,

$\frac{15}{b} = \frac{5}{4}$

We cross multiply to get,

$60 = 5b$

We divide both sides by 5 to get,

$12 = b$
or

$b = 12$