e8vorylinacherik
Answered

heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Answer :

Edufirst
Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

 




Martebi

Baded on the way that Heather has run a number of miles, we can say that  the  round off the answer to the nearest tenth of a mile is 4.6miles.

What is the expression about?

Notre that running is a from of exercise that can be done in different ways.

In the equation, there is:

Point 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.65+ 4.1 = 4.6

Therefore, the answer  will be 4.6 miles

Learn more about miles from

https://brainly.com/question/23801012

#SPJ5

Other Questions