प] What is the percent change from 154 to 410 ? Provide an answer accurate to the nearest tenth.

Question

UpStudy AI · Accepted Answer

We are given the initial value $$ a = 154 $$ and the new value $$ b = 410 $$. The formula for percent change is

$$
\text{Percent Change} = \left(\frac{b - a}{a}\right) \times 100.
$$

Substitute the given values:

$$
\text{Percent Change} = \left(\frac{410 - 154}{154}\right) \times 100.
$$

Calculate the difference in the numerator:

$$
410 - 154 = 256.
$$

Now, the expression becomes

$$
\text{Percent Change} = \left(\frac{256}{154}\right) \times 100.
$$

Simplify the fraction by dividing the numerator and the denominator by 2:

$$
\frac{256}{154} = \frac{128}{77}.
$$

Now, convert the fraction to a decimal:

$$
\frac{128}{77} \approx 1.6623.
$$

Finally, multiply by 100 to find the percent change:

$$
\text{Percent Change} \approx 1.6623 \times 100 \approx 166.2\%.
$$

Thus, the percent change from 154 to 410 is approximately $$\boxed{166.2\%}$$.
The percent change from 154 to 410 is approximately 166.2%.

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