Practice Constant Rate in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A constant rate of change means the output increases (or decreases) by the same fixed amount for every unit increase in the input — the hallmark of a linear function.
Constant rate means steady, uniform progress — like a car traveling at a fixed speed: every hour, the same number of miles is added to the total.
Example 1
easyA car travels at a constant speed of 60 km/h. Write the distance function d(t), find d(2.5), and compute the rate of change from t=1 to t=3.
Example 2
mediumFind the equation of the line passing through (2, 5) and (6, 13), interpret the slope, and write it in slope-intercept form y = mx + b.
Example 3
easyA plumber charges a \50 flat fee plus \75 per hour. Write C(h) and find the cost for 3 hours. At what hour does the cost reach \275$?
Example 4
mediumDetermine whether the data is consistent with a constant rate of change: x: 0, 2, 4, 6 and y: 3, 7, 12, 15. If not, find where it fails.