Question

Write and solve a system of inequalities graphically and determine one possible solution?

Answer 1

We have

x is the number of hour working as a lifeguard

y is the number of hour washing cars

The first inequality is

`x+y\le15`

we isolate the y

`y\le15-x`

the second inequality is

`13x+8y\ge160`

then we isolate the y

`y\ge(160-13x)/(8)`

then we will plot the inequalities

We have as a solution the area where the two areas intercept each other

One solution to these systems of inequalities could be

x=12

y=2

Julian could work 12 hours lifeguarding and 2 hours washing cars