Question

PLEASE HELP QUICK

Sea level at the Battery in New York is rising by about 2.84×10−3 m/year. At this rate, how much will the sea level rise in 15 years?
Express your answer in scientific notation.

Answer 1

• 
  `4.26 * 10 {}^( - 2) m`

Given :

• Rate of rise in the sea level:
  `2.84 * 10 {}^( - 3) m /year`

To find :

• The estimated rise in the sea level in 15 years

Solution :

Since the rate of rise of the sea level is 2.84 x 10^-3 m/year,

thus, the approximate amount of rise in the sea level in next 15 years would be the product of the rate per year by 15.

• 
  `2.84 * 10 {}^( - 3) * 15m`
• 
  `42.6 * 10 {}^( - 3) m`
• 
  `4.26 * 10 {}^( - 2) m`

Thus, in next 15 years ,the sea level could rise upto 4.26 x 10^-2m.

Answer 2

4.26 × 10⁻² meters

Explanation:

To calculate how much the sea level will rise in 15 years, we can use the formula:

`\large\boxed{\sf Rise = Rate * Time}`

In this case:

• Rate = 2.84 × 10⁻³ m/year
• Time = 15 years

Substitute these values into the formula:

`\begin{aligned}\sf Rise &= 2.84 * 10^(-3) \; \textsf{m/year} * 15\sf \;years\\\\&= 2.84 * 10^(-3) \; \textsf{m} * 15\\\\&= 42.6 * 10^(-3) \; \textsf{m} \end{aligned}`

Scientific notation is written in the form a × 10ⁿ, where 1 ≤ a < 10 and n is any positive or negative whole number.

To express the answer in scientific notation, we need to move the decimal point of 42.6 one place to the left and thus increase the power of 10 by 1. Therefore:

`\textsf{Rise} = 4.26 * 10^(-2)\; \sf m`

So, the sea level will rise by approximately 4.26 × 10⁻² meters in 15 years.