Question

The weight, w, of a baby elephant is shown in the table, where t is the number of weeks of growth.

t (in weeks) 0 1 2 3 4 5
w (in lbs) 210 231 252 273 294 315
Which equation shows how to calculate the rate of change for interval 1 to 2?

(1 point)
Responses

315−231/5−1 ≈ 21
the fraction with numerator 315 minus 231 and denominator 5 minus 1 almost equal to 21

252−231/2−1 ≈ 21
the fraction with numerator 252 minus 231 and denominator 2 minus 1 almost equal to 21

252−223/1−1 ≈ 1.1
the fraction with numerator 252 minus 2 and denominator 231 minus 1 almost equal to 1 point 1

252+231/2+1 ≈ 241.5
the fraction with numerator 252 plus 231 and denominator 2 plus 1 almost equal to 241 point 5

Answer 1

To calculate the rate of change of the weight of the baby elephant from week 1 to week 2, we need to find the difference in weight \( w \) divided by the difference in time \( t \).

From your table:
- At \( t = 1 \), \( w = 231 \) lbs
- At \( t = 2 \), \( w = 252 \) lbs

The formula for the rate of change between two points is:

\[
\text{Rate of Change} = \frac{w(t_2) - w(t_1)}{t_2 - t_1}
\]

Plugging in the values:

\[
\text{Rate of Change} = \frac{252 - 231}{2 - 1} = \frac{21}{1} = 21
\]

Thus, the correct equation that shows how to calculate the rate of change for the interval from week 1 to week 2 is:

**252−231/2−1 ≈ 21**

So the appropriate choice is:
- **252−231/2−1 ≈ 21**