Question

I need help on 11 and 12 and you don’t need to graph it

Answer 1

Part 11) see the explanation

Part 12) The graph in the attached figure

Explanation:

Part 11)

Let

x ----> the number of tickets is section A (cost $50 each)

y ----> the number of tickets is section B (cost $40 each)

we know that

At most means "less than or equal to"

`x+y\leq 10` ----> inequality A

`50x+40y\leq 450` ----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure N 1

Three possible combinations are the points

(0,10),(5,5),(9,0)

That means

(0,10) ----> They buy 0 seats in section A and 10 seats in section B

(5,5) ----> They buy 5 seats in section A and 5 seats in section B

(9,0) ----> They buy 9 seats in section A and 0 seats in section B

Part 12)

Let

x ----> the number of hours Kendra works as a babysitter

y----> the number of hours Kendra works providing technical support

we know that

`x+y\leq 80` ----> inequality A

At least means "greater than or equal to"

`10x+15y\geq 1,000` ----> inequality B

using a graphing tool

The solution is the triangular shaded area

The graph in the attached figure N 2