Answer:
a)
b) 86.5 years
Step-by-step explanation:
All values are rounded to 2 decimal places
a) We can find line by using y =mx+b
Therefore the line of best fit is
b) We can do this by using the formula of the best fit line to estimate the life expectancy of someone born in 2005
Therefore the estimated life expectancy of someone born in 2005 is 86.5 years
PS. Please give brainliest answer this was a lot of working out
Answer:
The lines intersect at x = 1.5 and y = 1
Step-by-step explanation:
We need to find the intersection of the lines 2x+5y=8 and 6x+y=10.
We need to find the values of x and y by elimination and by substitution.
a) By Elimination:
2x+5y = 8 (1)
6x + y = 10 (2)
Multiply eq(2) with 5 and subtract eq(1) from(2)
30x + 5y = 50
2x + 5y = 8
- - -
___________
28x = 42
x = 1.5
Now putting value of x in eq(2)
6x + y = 10
6(1.5) + y = 10
9 + y = 10
=> y = 10 - 9
y = 1
so, (x,y) = (1.5,1)
The lines intersect at x = 1.5 and y = 1
b) By substitution
2x+5y = 8 (1)
6x + y = 10 (2)
Finding value of y in equation 2 and substituting in eq(1)
y = 10 -6x
2x + 5(10 - 6x) = 8
2x + 50 - 30x = 8
-28x = 8-50
-28x = -42
x = -42/-28
x = 1.5
Now finding value of y by substituting value of x
6x + y = 10
6x = 10-y
x = 10 - y /6
2x + 5y = 8
2(10-y/6) + 5y = 8
10-y/3 + 5y = 8
10 -y +15y/3 = 8
10 +14y = 8*3
+14 y = 24 -10
+14 y = 14
y = 14/14
y = 1
So, (x,y) = (1.5,1)
The lines intersect at x = 1.5 and y = 1
