Respuesta :
She placed only 5 tiles the first day and started to go faster and by theend of day 4 she had placed 35 tiles.
So,
we have two points:
(1,5) and (4,35)
Slope = 30/3
= 10
Y - 5 = m(X - 1)
For 100 tiles,
100 - 35 = 10 (X - 4)
65 =10(X - 4)
6.5 = X - 4
X = 10.5
So,11th day
So,
we have two points:
(1,5) and (4,35)
Slope = 30/3
= 10
Y - 5 = m(X - 1)
For 100 tiles,
100 - 35 = 10 (X - 4)
65 =10(X - 4)
6.5 = X - 4
X = 10.5
So,11th day
(x1, y1) = (1, 5)
(x2, y2) = (4, 35)
y - y1 = (y2 - y1)/(x2 - x1) (x - x1)
y - 5 = (35 - 5)/(4 - 1) (x - 1)
y - 5 = 10(x - 1)
100 - 5 = 10(x - 1)
95/10 = x - 1
x = 9.5 + 1 = 10.5
x = 10.5
Therefore, It will take her 10.5 days to place all 100 tiles.
(x2, y2) = (4, 35)
y - y1 = (y2 - y1)/(x2 - x1) (x - x1)
y - 5 = (35 - 5)/(4 - 1) (x - 1)
y - 5 = 10(x - 1)
100 - 5 = 10(x - 1)
95/10 = x - 1
x = 9.5 + 1 = 10.5
x = 10.5
Therefore, It will take her 10.5 days to place all 100 tiles.