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Rate of cha ixl.com/math/grade-8/rate-of-change-of-a-linear-function-graphs bookmarks This graph shows how a sapling's height depends on its age. Height of a sapling What is the rate of change? Write your answer as a decimal or integer. ◻ inches per year

Rate of cha\newlineixl.com/math/grade−8-8/rate-of-change-of-a-linear-function-graphs\newlinebookmarks\newlineThis graph shows how a sapling's height depends on its age.\newlineHeight of a sapling\newlineWhat is the rate of change?\newlineWrite your answer as a decimal or integer.\newline□ \square inches per year

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Calculate unit rates with fractionsright chevron icon

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Q. Rate of cha\newlineixl.com/math/grade−8-8/rate-of-change-of-a-linear-function-graphs\newlinebookmarks\newlineThis graph shows how a sapling's height depends on its age.\newlineHeight of a sapling\newlineWhat is the rate of change?\newlineWrite your answer as a decimal or integer.\newline□ \square inches per year
  1. Pick two points: To find the rate of change, we need to pick two points on the graph and use the formula: Rate of change = (change in height)/(change in time)(\text{change in height}) / (\text{change in time}).
  2. Calculate changes: Let's pick two points on the graph. Suppose the points are (1,3)(1, 3) and (4,15)(4, 15), where the first number is the age in years and the second number is the height in inches.
  3. Use rate of change formula: Now we calculate the change in height and change in time. Change in height = 15−315 - 3. Change in time = 4−14 - 1.
  4. Simplify the fraction: So, change in height = 1212 inches and change in time = 33 years.
  5. Simplify the fraction: So, change in height = 1212 inches and change in time = 33 years.Now we use the formula: Rate of change = (change in height) / (change in time) = 1212 inches / 33 years.
  6. Simplify the fraction: So, change in height = 1212 inches and change in time = 33 years.Now we use the formula: Rate of change = change in heightchange in time\frac{\text{change in height}}{\text{change in time}} = 12 inches3 years\frac{12 \text{ inches}}{3 \text{ years}}.Simplify the fraction: Rate of change = 44 inches per year.

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