A group of people tried joining a gym to see if it would help them to lose weight. This table shows the relationship between the number of weeks since each person joined the gym and the number of pounds they have lost. Weeks 10 8 6 2 1 5 9 8 Pounds Lost (lb) 4 2.5 0 1 0.5 3 3.5 1.5 Which function best models the data?
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
A group of people tried joining a gym to see if it would help them to lose weight. This table shows the relationship between the number of weeks since each person joined the gym and the number of pounds they have lost.
| Weeks | 10 | 8 | 6 | 2 | 1 | 5 | 9 | 8 |
|---|---|---|---|---|---|---|---|---|
| Pounds Lost (lb) | 4 | 2.5 | 0 | 1 | 0.5 | 3 | 3.5 | 1.5 |
Which function best models the data?
-
y=−0.43x+2.5
-
y = 0.31x + 0.12
-
y=−1.5x+5.5
-
y=0.75x−3.5
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
