Question

practice: proportions
score: 4/6 answered: 4/6
question 5
calvins concrete company supplied a contractor with 18 cubic yards of concrete at a cost of $1,323.00. assuming they charge the same rate per cubic yard regardless of the amount of concrete supplied, what would they charge for 36 cubic yards of concrete?
translate to a proportion:
$ for 36 cubic yards of concrete

Explanation:

Step1: Define Variables and Proportion

Let \( x \) be the cost for 36 cubic yards. The rate per cubic yard is constant, so we set up the proportion: \(\frac{18}{1323}=\frac{36}{x}\) (since cost is proportional to volume).

Step2: Solve the Proportion

Cross - multiply: \(18x = 1323\times36\). First, calculate \(1323\times36 = 47628\). Then, solve for \(x\): \(x=\frac{47628}{18}=2646\).

Answer:

Translate to a proportion: \(\boldsymbol{\frac{18}{1323}=\frac{36}{x}}\) (where \(x\) is the cost for 36 cubic yards)
\(\boldsymbol{2646}\) for 36 cubic yards of concrete