Question

lizzy is tiling the kitchen floor for the first time. she had a tough time at first and placed only 5 tiles the first day. she started to go faster, and by the end of day 4 she had places 35 tiles. she worked at a steady rate after the first day. use an equation in point slope form to determine how many days lizzy took place all of 100 tiles needed to finish the floor

Answer 1

10.5 days

Explanation:

Point slope form

y-5=10(x-1)

Substitute for y

100-5=10(x-1)

Distribute the 10

100-5=10x-10

Combine like terms

95=10x-10

Add ten to both sides

105=10x

Divide by 10

X = 10.5

Answer 2

Let y be the tiles that is done in x days. So first calculate the slope of the line

At ( 1, 5) and ( 4, 35)

M =( 35 – 5) / ( 4 – 1)

M = 10

Then solve the y intercept

Y = mx + b

5 = 10(1) + b

B = -5

Y = 10x – 5

100 = 10x -5

X = 10.5 days to finish tiling 100 tiles