Question

Dont graph it for me (it auto graphs it)

Answer 1

`y\leq -x+22`

`y\geq -0.5x + 16`

(8,13)

8 nickels

13 dimes

Explanation:

x = nickels

y = dimes

`x+y\leq 22`

`x+y\leq 22\\\\-x -x\\\\y\leq -x+22`

`0.05x+0.10y\geq 1.60\\\\-0.05x -0.05x\\\\0.10y\geq -0.05x+1.60\\\\/0.10 /0.10\\\\y\geq -0.5x + 16`

(8,13)

8 nickels

13 dimes

Check your answer:

`y\leq -x+22`

`y\geq -0.5x + 16`

`y\leq -x+22\\\\13\leq -8+22\\\\13\leq 14`

This statement is true

`y\geq -0.5x + 16\\13\geq -0.5(8)+16\\13\geq -4+16\\13\geq 12`

This statement is true

Hope this helps!