4.12 Modeling linear relationships
Interactive practice questions
After Mae starts running, her heartbeat increases at a constant rate.
Complete the table.
| Number of minutes passed ($x$x) | $0$0 | $2$2 | $4$4 | $6$6 | $8$8 | $10$10 | $12$12 |
|---|---|---|---|---|---|---|---|
| Heart rate ($y$y) | $49$49 | $55$55 | $61$61 | $67$67 | $73$73 | $79$79 | $\editable{}$ |
What is the constant rate the heart beat is increasing at?
Which one of the following equations describes the relationship between the number of minutes passed ($x$x) and Mae’s heartbeat ($y$y)?
$y=49x-3$y=49x−3
$y=49x+3$y=49x+3
$y=3x-49$y=3x−49
$y=3x+49$y=3x+49
In the equation, $y=3x+49$y=3x+49, what does $3$3 represent?
The change in one minute of Mae’s heartbeat.
The total time Mae has run.
The total distance Mae has run.
A racing car starts the race with $150$150 liters of fuel. From there, it uses fuel at a rate of $5$5 liters per minute.
In a study, scientists found that the more someone sleeps, the quicker their reaction time. The attached table shows the findings. Use a positive number to express increase, and a negative number to express decrease.
Consider the points in the table below: