CanadaON
Grade 10

# Applications of maximization and minimization

## Interactive practice questions

The height $h$h, in metres, reached by a ball thrown in the air after $t$t seconds is given by the equation $h=10t-t^2$h=10tt2.

a

Fill in the following table of values for $h=10t-t^2$h=10tt2.

 $t$t $1$1 $2$2 $3$3 $4$4 $5$5 $6$6 $7$7 $8$8 $9$9 $10$10 $h$h $\editable{}$ $16$16 $\editable{}$ $24$24 $\editable{}$ $\editable{}$ $\editable{}$ $16$16 $\editable{}$ $0$0

b

Graph the relationship $h=10t-t^2$h=10tt2.

Loading Graph...
c

Determine the height of the ball after $5.5$5.5 seconds have elapsed.

d

What is the maximum height reached by the ball?

Easy
6min

The sum of two integers is $80$80.

Easy
3min

A rectangle is to be constructed with $80$80 metres of wire. The rectangle will have an area of $A=40x-x^2$A=40xx2, where $x$x is the length of one side of the rectangle.

Easy
5min

The sum of two whole numbers is $24$24. Let one of the numbers be $x$x.

Easy
4min
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### Outcomes

#### 10D.QR4.02

Solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology