the table below shows the amount of money nee...
the table below shows the amount of money needed to buy certain amounts of fabric.\nfabric cost\nfabric (yards) total cost (dollars)\n3 5\n6 10\n9 15\n12?\nif the price is the same for each yard, how much money would 12 yards of fabric cost?\n18 dollars\n20 dollars\n24 dollars\n25 dollars
Answer
# Explanation:
## Step1: Find the unit - price
The unit - price is the cost per yard. For 3 yards costing 5 dollars, the unit - price $u=\frac{5}{3}$ dollars per yard. We can also check with other rows. For 6 yards costing 10 dollars, $u = \frac{10}{6}=\frac{5}{3}$ dollars per yard, and for 9 yards costing 15 dollars, $u=\frac{15}{9}=\frac{5}{3}$ dollars per yard.
## Step2: Calculate the cost for 12 yards
If the unit - price $u = \frac{5}{3}$ dollars per yard and the number of yards $n = 12$, then the total cost $C=u\times n$. Substitute $u=\frac{5}{3}$ and $n = 12$ into the formula: $C=\frac{5}{3}\times12$.
$C = 20$ dollars.
# Answer:
20 dollars