Draw a graph of the line of y = x - 4 . On the same axes, draw the line of y = 1 3 x . Where do the lines cross?

Given, y = x - 4 If x = 1 , then y = 1 - 4 = - 3 . If x = 5 , then y = 5 - 4 = 1 . x 1 5 y - 3 1 We need to plot the points A 1 , - 3 and B 5 , 1 on the graph. And join the points A and B . Therefore, A B is graph of the equation y = x - 4 . Given, y = 1 3 x x 3 9 y 1 3 × 3 = 1 3 Plot the points C 3 , 1 and D 9 , 3 . Join the points C and D . Therefore, the line l is the graph of the equation y = 1 3 x . The lines l and m intersect at 6 , 2 . Hence, the graphs of the equations cross at 6 , 2 .

The height of a plant is measured every day. This graph shows the results. Find the initial height of the plant.

In the above graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). y ‐ coordinate when x ‐ coordinate is 0 = 10 Therefore, the initial height of the plant is 10 cm .

The height of a plant is measured every day. This graph shows the results. Find the height of the plant after 10 days.

In the given graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). In the above graph, the point A ( 10 , 12 . 5 ) represents the height of the plant after 10 days. y ‐ coordinate when x ‐ coordinate is 10 = 12 . 5 . Therefore, the height of the plant is 12 . 5 cm .

The height of a plant is measured every day. This graph shows the results. Find the height of the plant after 20 days.

In the given graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). In the above graph, the point A ( 20 , 15 ) represents the height of the plant after 20 days. y ‐ coordinate when x ‐ is 20 = 15 . Therefore, the height of the plant is 15 cm .

The height of a plant is measured every day. This graph shows the results. Find the height of the plant after 30 days.

In the given graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). In the above graph, the point A ( 30 , 17 . 5 ) represents the height of the plant after 30 days. y ‐ coordinate when x ‐ coordinate is 30 = 17 . 5 Therefore, the height of the plant is 17 . 5 cm .

The height of a plant is measured every day. This graph shows the results. How do you know that the plant grows the same amount each day?

In the above graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). In the above graph, the point A ( 10 , 12 . 5 ) represents the height of the plant after 10 days. y ‐ coordinate when x ‐ coordinate is 10 = 12 . 5 . Therefore, the height of the plant after 10 days is 12 . 5 cm . Initial height of the plant = 10 cm Growth of the plant in 10 days = ( 12 . 5 - 10 ) cm = 2 . 5 cm Growth of the plant in 1 day = 2 . 5 10 cm = 0 . 25 cm The plant grows 0 . 25 cm each day. Therefore, we know that the plant grows the same amount each day because the plant grows 0 . 25 cm in one day.

The height of a plant is measured every day. This graph shows the results. How much does the plant grow each day?

In the above graph, x ‐ axis represent time(days). y ‐ axis represent height( cm ). In the above graph, the point A ( 10 , 12 . 5 ) represents the height of the plant after 10 days. y ‐ coordinate when x ‐ coordinate is 10 = 12 . 5 . Therefore, the height of the plant after 10 days is 12 . 5 cm . Initial height of the plant = 10 cm Growth of the plant in 10 days = ( 12 . 5 - 10 ) cm = 2 . 5 cm Growth of the plant in 1 day = 2 . 5 10 cm = 0 . 25 cm Therefore, the plant grows 0 . 25 cm each day.

E M B I B E

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 11 - Graphs>Check your progress

Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Graphs, Exercise 6: Check your progress

Author:Lynn Byrd, Greg Byrd & Chris Pearce

Lynn Byrd Mathematics Solutions for Exercise - Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Graphs, Exercise 6: Check your progress

Attempt the practice questions on Chapter 11: Graphs, Exercise 6: Check your progress with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access solutions are prepared by Experienced Embibe Experts.