01 76 38 08 47
Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

  1. Home
  2. 12th grade
  3. Algebra I
  4. Exercise : Find a value after a certain percent of change

Find a value after a certain percent of change Algebra I

The price of a barrel of oil was $40.45 last month. The price has increased by 15%.

How much is a barrel of oil today, rounded to 10^{-2} ?

Assume the initial price is x and the change in price is y%. Then the new price is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The price of a barrel of oil today is:

$40.45 \times\left(1+.15\right)=$46.52

The price of an barrel of oil today is $46.52.

A car is traveling 60mph and it slows down 20%.

What is the current speed?

Assume the initial speed is x and the change in speed is y%. Then the new speed is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The car is moving at:

60 \times\left(1-.2\right)=48 mph

The car is now moving at 48mph.

Tesla model S can travel 300 miles on a full charge. Due to new efficiencies they found a way to add 12% more range to the model S.

What is the new range of the Tesla model S?

Assume the initial range is x and the change in range is y%. Then the new range is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The new range is:

300 \times\left(1+.12\right)=336 \text{ miles }

The new range is 336 miles.

A plane cruises at 10,000 ft and drops its elevation by 20%.

What is the new elevation of the plane?

Assume the initial elevation is x and the change in elevation is y%. Then the new elevation is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The elevation is:

10\ 000 \times \left(1-.20\right)=8{,}000 \text{ ft.}

The new elevation is 8,000 ft.

A train is moving 80mph.

The speed increases by 25%, what is the new speed?

Assume the initial speed is x and the change in speed is y%. Then the new speed is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The speed of the train is:

80 \times \left(1 + .25\right) = 100 mph

The speed of the train is 100mph.

The population of the world was 6 billion in 2000. The population has increased by 27%. What is the current world population?

Assume the initial population is x and the change in price is y%. Then the current population is:

x \cdot \left(1 + \dfrac{y}{100}\right)

Therefore, the world population is:

6 \times\left(1+0.27\right)=6 \times 1.27 = 7.62 \, \text{billion}

The total world population is 7.62 \, \text{billion} today.

The price of caviar was $70.15 last month. The price has increased by 20% .

How much is caviar today, rounded to 10^{-2} ?

Assume the initial price is x and the change in price is y%. Then the new price is:

x \cdot \left(1 + \dfrac{y}{100}\right)

The price of caviar today is:

$70.15 \times\left(1+.20\right)=$84.18

The price of caviar today is $84.18.

The editorial charter guarantees the compliance of the content with the official National Education curricula. Learn more

The courses and exercises are written by the Kartable editorial team, made up of teachers certified and accredited. Learn more

See also
  • Course : Manipulating quantities
  • Exercise : Determine if two ratios are equivalent
  • Exercise : Find a unit rate
  • Exercise : Find a unit price
  • Exercise : Find a percent of change
  • support@kartable.com
  • Legal notice

© Kartable 2026