Jerry decides to participate in the horseshoe
tournament at the Wellesley Apple Butter and Cheese
festival. The toss of the shoes can be modelled using
the equation, h = -0.1(d + 1)(d - 12), where h represents
height in metres and d represents distance in metres.

a) Sketch the graphical model.
b) What is the maximum height of a horseshoe?

Step-by-step explanation:

Given

Solving (a): The graph

To do this, we plot h on the vertical axis and d on the horizontal

See attachment for graph

Solving (b): The maximum of h

From the attached graph, h has the maximum value when:

So, the maximum of h is:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.