HS.F-IF.9
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Example Problems
Two videos accumulate views at constant hourly rates. Video Ripple gains 900 views per hour, and after 17 hours it had 16,500 views.
The view count for Video Summit as a function of time (in hours) is given by the table of values.
Which video has the greater y-intercept?
The view count for Video Summit as a function of time (in hours) is given by the table of values.
| Time (hours) | Views |
|---|---|
| 3 | 4400 |
| 10 | 10000 |
| 18 | 16400 |
Which video has the greater y-intercept?
Two savings accounts receive constant monthly deposits. Account Gray increases by per month, and it had a balance of after 14 months.
The balance of Account Jade as a function of time (in months) is given by the table of values.
Which account has the greater y-intercept?
The balance of Account Jade as a function of time (in months) is given by the table of values.
| Time (months) | Balance (dollars) | |
|---|---|---|
| 4 | 1 | 200 |
| 12 | 2 | 600 |
| 20 | 4 | 000 |
Which account has the greater y-intercept?
Olivia and Peter handed out coffee samples at a morning market.
They each served samples at a constant rate, and they both finished their supply. Olivia initially had 210 cups of coffee, and after she was visited by 15 patrons, she had 120 cups left.
The following equation gives the number of remaining cups Peter had, P, as a function of the number of patrons, p:
Who served coffee to a greater number of patrons?
They each served samples at a constant rate, and they both finished their supply. Olivia initially had 210 cups of coffee, and after she was visited by 15 patrons, she had 120 cups left.
The following equation gives the number of remaining cups Peter had, P, as a function of the number of patrons, p:
Who served coffee to a greater number of patrons?
Khan Academy ResourcesComparing linear functions word problemsCompare quadratic functionsComparing linear functions word problem: workComparing linear functions: equation vs. graphComparing linear functions: faster rate of changeComparing linear functions word problem: climbComparing maximum points of quadratic functionsComparing features of quadratic functionsComparing linear functions word problem: walkComparing linear functions: same rate of change
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