3.07 Problem solving with linear functions
Interactive practice questions
A ball is rolled down a slope. The table attached shows the velocity of the ball after a given number of seconds.
| Time in seconds ($t$t) | $0$0 | $1$1 | $2$2 | $3$3 | $4$4 | $5$5 |
|---|---|---|---|---|---|---|
|
Velocity in m/s ($V$V) |
$12$12 | $13.3$13.3 | $14.6$14.6 | $15.9$15.9 | $17.2$17.2 | $18.5$18.5 |
Which of the following graphs correctly shows velocity against time?
What does the slope represent in this context?
The velocity in meters per minute.
How far the ball has rolled in the previous second.
How far the ball has rolled in total.
The rate of acceleration - that is, the rate of increase in the velocity.
The number of fish in a river is approximated over a five year period.
The results are shown in the following table.
The number of university students studying computer science in a particular country is modeled by the equation $S=4t+12$S=4t+12, where $t$t is the number of years since $2000$2000 and $S$S is the number of students in thousands.
Sketch the graph of this equation.
After each week, the number of apples on an apple tree increases according to the figure below.