Question

Pls help i been procrastinating

Answer 1

1. 37 Tiles

2. Tile numbers greater than 38.

Explanation:

1. For what number of tiles are the two costs equal. Explain your strategy.

Form an equation to represent each cost and set them equal to each other to calculate what number of tiles makes costs equal. Costs will be equal when
`C_T = C_C`

Let n represent the number of tiles.

`C_T = 740 + 32(n - 10)\\C_C = 1000+25(n-12)`

`1000 + 25(n-12) = 740 + 32(n - 10)\\1000 + 25n - 300 = 740 + 32n - 320\\700+ 25n=420+32n\\-7n=-260\\n = 37.14...`

So 37 tiles would make costs for each company equal.

2. For what numbers of tiles is
`C_T < C_C`. Explain your reasoning.

Do the exact same process as above, but have < as the sign instead of =. Remember that we divide by -7 on each side on the last step, so the sign will change to >. We can't install 0.14 tiles, so for real-world applications we must round up to 38 tiles. This means
`C_T < C_C` when more than 38 tiles are needed.