"Application of graphs of linear functions" linear function PPT courseware 3

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"Application of graphs of linear functions" linear function PPT courseware 3

In the linear function y=kx+b

When k>0, y increases with the increase of x,

When b>0, the straight line intersecting the y-axis with the positive semi-axis must pass through the first, second, and third quadrants;

When b<0, the straight line intersecting the y-axis at the negative semi-axis must pass through the first, third, and fourth quadrants;

When k<0, y decreases as x increases,

When b>0, the straight line intersecting the y-axis with the positive semi-axis must pass through the first, second, and fourth quadrants;

When b<0, the straight line intersecting the y-axis at the negative semi-axis must pass through the second, third, and fourth quadrants.

think about it

Due to persistent high temperatures and no rain for days, the water storage capacity of a certain reservoir decreased with time. The relationship between drought duration t (days) and water storage volume V (10,000 m3) is shown in the figure below. 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 occur. How many days after the drought will a severe drought warning be issued?

(3) According to this rule, how many days will the reservoir be expected to dry up if the drought continues?

From the beginning of the publicity activity, it is assumed that the number of families participating in the activity increases by the same amount every day. Finally, all teachers and students in the school participate in the activity, and the functional relationship between the number of families participating in the activity S (households) and the publicity time t (days) is as shown in the figure Show.

Answer the following questions based on the image:

(1) On the day the activity started, how many families in the school participated in the activity?

(2) How many households are there in total among teachers and students in the school? How many days did the event last?

(3) Do you know how many households are added every day on average?

(4) On what day of the event will the number of families participating in the event reach 800?

(5) Write the functional relationship between the number of families participating in the activity S and the activity time t.

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Update Time: 2024-07-22

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