Constant of Proportionality Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyApples cost \$0.75 each. Write the equation for cost \(C\) given quantity \(q\). Find the cost of 8 apples.
Solution
- 1 \(C = 0.75q\) (constant of proportionality \(k = 0.75\)).
- 2 For \(q=8\): \(C = 0.75 \times 8 = 6.00\).
- 3 8 apples cost \$6.00.
Answer
\(C = 0.75q\); 8 apples cost \$6.00
The unit price (\$0.75 per apple) is the constant of proportionality in \(C = 0.75q\).
About Constant of Proportionality
The constant ratio between two proportional quantities: if , then is the constant of proportionality.
Learn more about Constant of Proportionality →More Constant of Proportionality Examples
Example 1 easy
A car travels 60 miles per hour. Write the equation relating distance (d) and time (t). What is the
Example 2 mediumThe table shows (x) and (y): (2, 10), (4, 20), (6, 30). Is this proportional? Find (k).
Example 4 mediumIf (y = kx) and (y = 35) when (x = 7), find (k) and predict (y) when (x = 12).