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

Question

asked Mar 16, 2023 72.6k views

1 Answer

Tinika · Answer 1 · 2023-03-22T21:30:20+0000

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