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Giải bài 7.30 trang 30 sách bài tập toán 8 - Kết nối tri thức với cuộc sống

Hải lí (còn gọi là dặm biển) là một đơn vị chiều dài hàng hải và 1 hải lí bằng 1,852km

♍Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

Hải lí (còn gọi là dặm biển) là một đơn vị chiều dài hàng hải và 1 hải lí bằng 1,852km a) Viết công thức biểu thị y (km) theo x (hải lí). Giá trị âm của x có ý nghĩa gì trong tình huống này không? Giải thích. b) Vẽ đồ thị của hàm số \(y = f\left( x \right)\) nhận được ở câu a. c) Một hành trình đi biển dài 350 hải lí. Hỏi hành trình đó dài bao nhiêu kilômét?

Phương pháp giải - Xem chi tiết

* Sử dụng khái niệm hàm số bậc nhất để viết hàm số: Hàm số bậc nhất là hàm số cho bởi công thức \(y = ax + b,\) trong đó a, b là các số cho trước và \(a \ne 0\)

* Sử dụng kiến thức về cách vẽ đồ thị hàm số bậc nhất \(y = ax + b\left( {a \ne 0} \right)\) để vẽ các đồ thị + Khi \(b = 0\) thì \(y = ax\). Đồ thị của hàm số \(y = ax\) là đường thẳng đi qua gốc tọa độ O(0; 0) và điểm A(1; a) + Khi \(b \ne 0\), ta thường xác định hai điểm đặc biệt trên đồ thị là giao điểm của đồ thị với hai trục tọa độ như sau: - Cho \(x = 0\) thì \(y = b\), ta được điểm P(0; b) thuộc trục tung Oy. - Cho \(y = 0\) thì \(x = \frac{{ - b}}{a}\), ta được điểm \(Q\left( { - \frac{b}{a};0} \right)\) thuộc trục hoành Ox. - Vẽ đường thẳng đi qua hai điểm P, Q ta được đồ thị của hàm số \(y = ax + b\)

Lời giải chi tiết

a) Công thức biểu thị y (km) theo x (hải lí) là: \(y = 1,852x\) (km)Giá trị âm của x trong trường hợp này không có ý nghĩa vì chiều dài là một đại lượng không âm.b) Đồ thị hàm số \(y = 1,852x\) đi qua \(O\left( {0;0} \right)\) và \(A\left( {5;9,26} \right)\)Đồ thị của hàm số \(y = 1,852x\) (với x không âm) là một phần đường thẳng như hình dưới.

 

c) Với \(x = 350\) thì \(y = 1,852.350 = 648,2\left( {km} \right)\)

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