Given that G=ab, find the percentage increase in G when both a and b increase by 10%.

Answer 1

G = ab
(1.1a)(1.1b) = 1.21 ab = 1.21G
G increases by 21%

Answer 2

Not clear

Answer 3

it actually is clear.

Answer 4

Not clear🤔🤔🤔🤔🙄🙄🙄😵😵🧐🧐

Answer 5

Answer:

The percentage increase in X is 21%.

Step-by-step explanation:

Given that X=ab ,find the percentage increase in X when both a and b increases by 10%.

Given: X=ab, a is increased by 10%, b is increased by 10%

Asked: The percentage increase in X

Solutions:

Change 10% into decimal and that is 0.10 or 0.1

If a is increased by 10% or 0.1, then it will become,

a + 0.1a

= 1a + 0.1a     It is understood that a has a numerical coefficient of 1.

= 1.1a

If b is increased by 10% or 0.1, then it will become,

b +0.1b

= 1b + 0.1b     It is understood that b has a numerical coefficient of 1.

= 1.1b

Using the given X = ab, when both a and b is increased by 10% or 0.1, then

X = (1.1a) (1.1b)

=1.21ab

In the given X = ab, ab as a numerical coefficient of 1. Thus,

1.21ab - ab

= 1.21ab - 1ab             It is understood that ab has a numerical coefficient of 1.

= 0.21                         Change into percent by moving the decimal point to    the right (two decimal places) and add the percent sign.

= 21% is the percentage increase in X when both a and b increase by 10%

Answer 6

estimate any number for a and b
like, if a = 100
and b also equals 100
G will equal 100 * 100 G=10,000
since the percentage increase is 10% we add 10 to a and b
a=110 and b=110
so G will equal 110*110 which equals G=12,100
to find the percentage increase:
10,000 100%
(12100-10000)
2100 x
x=21%