the cost for new carpet is $8.55 per square yard, plus an installation fee, if 700 square yards of carpet cost $6164, write and solve a linear equation to find the cost of 1000 square yards

Answer 1

If x represents the installation fee, (700 * 8.55) + x = 6164 -> x = 6164 - (700 * 8.55) = 6164 - 5985 = 179

Then 1000 square yards would cost (1000 * 8.55) + 179 = 8550 + 179 = 8729

There is actually another easier way to solve this particular question without deriving the installation fee (although the above method is the better, more general method). Since you are getting 300 more square yards, it would cost an additional 300 * 8.55 or 2565 and 6164 + 2565 = 8729