Write A Function Describing A Relationship
Akopọ
Real problems rarely arrive as equations. They arrive as descriptions: a taxi charges a fixed fee plus a rate per mile, a tank drains at a steady rate, a savings balance grows each year. Turning such a description into a function is one of the most useful skills in all of algebra, because once you have the function you can answer any question about the situation.
In this lesson you will write a function that describes the relationship between two quantities. You will identify the input and the output, capture any fixed amount and any rate of change, and assemble them into a clear rule in function notation.
Awọn Afojusun
- Write a function that describes a relationship between two quantities.
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Oriire fun ipari ẹkọ lori Write A Function Describing A Relationship. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
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- A taxi charges $3 plus $2 per mile. Which function gives the cost C for m miles? A. C(m) = 3m + 2 B. C(m) = 2m + 3 C. C(m) = 5m D. C(m) = 6m Answer: B
- Using C(m) = 2m + 3, what is the cost of a 5-mile journey? A. $10 B. $13 C. $16 D. $25 Answer: B
- A rectangle has fixed width 4 and length x. Its area function is: A. A(x) = x + 4 B. A(x) = 4x C. A(x) = 4 + x D. A(x) = x/4 Answer: B
- In a linear model f(x) = (rate)x + (fixed value), the fixed value is the: A. coefficient of x B. constant term C. input D. output Answer: B
- Which question helps you find the rate of change? A. What stays the same? B. How much does the output change per unit of input? C. What is the largest value? D. What is the input called? Answer: B
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Abala ìwé ẹ̀kọ́
Linear Functions
Represent a linear function.
"Algebra and Trigonometry: Linear Functions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/4-1-linear-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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