NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Gradient as a measure or rate

A plane starts at an altitude of $0$0 metres and ascends $160$160 metres each minute until it reaches cruising altitude.

a

Complete the table of values.

Time after take-off ($x$x minutes) |
$0$0 | $1$1 | $2$2 | $3$3 | $10$10 |
---|---|---|---|---|---|

Altitude ($y$y metres) |
$\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |

b

State the equation relating altitude ($y$`y`) and time after take-off ($x$`x`).

c

Graph the equation $y=160x$`y`=160`x`

Loading Graph...

d

State the gradient of the straight line.

e

What does the gradient of the straight line represent?

The rate at which the plane is gaining altitude.

A

The altitude of the plane $x$`x` minutes after take-off.

B

The rate at which the plane is gaining altitude.

A

The altitude of the plane $x$`x` minutes after take-off.

B

Easy

Approx 3 minutes

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