"Application of graphs of linear functions" linear function PPT courseware 5

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"Application of graphs of linear functions" linear function PPT courseware 5

Scenario introduction

Due to persistent high temperatures and no rain for days, the water storage capacity of a certain reservoir decreased over time. The relationship between drought duration t (days) and water storage volume v (10,000 m3) is shown in the figure. Answer the following questions:

(1) What type of function does the image reflect?

(2) How many thousand meters is the original water storage volume v of the reservoir? 3

Due to persistent high temperatures and no rain for days, the water storage capacity of a certain reservoir decreased over time. The relationship between drought duration t (days) and water storage volume v (10,000 m3) is shown in the figure. Answer the following questions:

(1) If the drought lasts for 10 days, how much water will be stored? What about 23 consecutive days of drought?

(2) When the water storage capacity is less than 4 million m3, a severe drought warning will be issued. How many days after the drought will a severe drought warning be issued?

The fuel tank of a certain motorcycle can store up to 10 liters of fuel. After filling up, the relationship between the remaining fuel volume y (liters) in the fuel tank and the distance traveled by the motorcycle x (kilometres) is as shown in the figure. According to the image Answer the following questions:

(1) How many kilometers can a motorcycle travel on a tank of gasoline?

(2) How many liters of gasoline does a motorcycle consume per 100 kilometers traveled?

(3) When the remaining oil in the fuel tank is less than 1 liter, the motorcycle will automatically alarm. After driving for how many kilometers, the motorcycle will automatically alarm?

Image analysis method:

(1) Determine the function type from the shape of the function graph;

(2) Understand the actual meaning of the coordinates of the points on the image from the actual meanings of the x-axis and y-axis.

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Update Time: 2024-09-07

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