Linear & Quadratic Models

Ben loves to kayak. He can paddle 100 metres in 40 seconds.

Construct a model to describe how far Ben can kayak in t seconds.

• $D=100t+40$ metres

• $D=\frac{5}{2}t\$ metres

• $D=40t+100$ metres

• $D=\frac{2}{5}t$ metres

Ben loves to kayak. He can paddle 100 metres in 40 seconds.

Predict how far Ben can kayak in 10 minutes (include units: metres)

When Annie hits a softball, the height of the ball above the ground after t seconds is given by h = - 4.9t² +19.6t + 1.4 metres.

Find the height of the ball after 1 second (include units: metres).

When Annie hits a softball, the height of the ball above the ground after t seconds is given by h = - 4.9t² +19.6t + 1.4 metres.

Find the maximum height reached by the ball. (Include units: metres)

Find, in the form y=ax²+bx+c, the quadratic function whose graph has vertex (3, 15) and passes through point (1,7).

• y= -2x² + 12x - 3

• y= -x² - 3x + 6

• y= x² + 22x + 105

• y= -x² + 22x + 105

The table shows for the months of one year the average temperature in a place close to the Arctic Circle. Use the calculator to find the model that best fits the data.

• $y=1.17x-22.7$

• $y=-2.03x^2+27.5x-84.2$

• $y=-0.00176x^2-0.0281x+7.39$

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Find the slope of the line.

• 2/1
• 1/2
• -1/2
• -2/1