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Lizzy is tiling a kitchen floor for the first time. She had a tough time at first and placed only 6 tiles the firstday. She started to go faster and by the end of day 4, she had placed 36 tiles. She worked at a steady rateafter the first day. Use an equation in point-slope form to determine how many days Lizzy took to placeall of the 100 tiles needed to finish the floor. Solve the problem using an equation in point-slope form.

Lizzy Is Tiling A Kitchen Floor For The First Time She Had A Tough Time At First And Placed Only 6 Tiles The Firstday She Started To Go Faster And By The End Of class=

Sagot :

We know that

• She placed 6 tiles on the first day.

,

• By the end of day 4, she had placed 36 tiles.

Based on the given information, we can express the following equation.

[tex]y=3x+6[/tex]

If she had placed 36 tiles in 3 days, it means she had placed 12 tiles per day, that's why the coefficient of x is 3. And the number 6 is the initial condition of the problem, that is, on day 0 she placed 6 tiles.

Now, for 100 tiles, we have to solve the equation when y = 100.

[tex]\begin{gathered} 100=3x+6 \\ 100-6=3x \\ 3x=94 \\ x=\frac{94}{3} \\ x=31.33333\ldots \end{gathered}[/tex]

Therefore, she needs 32 days to place all the tiles.

Notice that we cannot say 31 days, because it would be incomplete.

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