A1.24.b
Define linear functions to represent situations in which one quantity changes at a constant rate per unit interval relative to another.
Example Problems
A small farm has 120 hens. Each month, the farm acquires 5 additional hens.
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Wendy uses 15 nails for each shelf she builds. She has 900 nails.
The nails, , remaining is a function of , the number of shelves Wendy builds.
Write the function's formula.
The nails, , remaining is a function of , the number of shelves Wendy builds.
Write the function's formula.
Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling.
The grams, , of filling remaining is a function of , the number of dumplings Dominik makes.
Write the function's formula.
The grams, , of filling remaining is a function of , the number of dumplings Dominik makes.
Write the function's formula.
Khan Academy ResourcesIntro to arithmetic sequencesIntro to arithmetic sequence formulasUse arithmetic sequence formulasExtend arithmetic sequencesIntro to arithmetic sequencesArithmetic sequence problemWorked example: using recursive formula for arithmetic sequenceUsing arithmetic sequences formulasExtending arithmetic sequences
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