Question

please help
3.You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week.

If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week?

Answer 1

A

Answer 2

B

Answer 3

C

Answer 4

D

Answer 5

please help

Answer 6

do any of you understand? @Maloba @Lethal

Answer 7

@satellite73

Answer 8

@Nurali

Answer 9

i think it is D because it's increasing right?

Answer 10

@ganeshie8

Answer 11

@phi

Answer 12

please help

Answer 13

7 i believe

Answer 14

nvm

Answer 15

x is the number of hours you work at Burger Palace and earn $8 per hour
you earn 8x dollars at Burger Palace

y is the number of hours you work at the community center, and earn $10 per hour
you earn 10y at community center.

the total you earn is 8x+10y
you this to be *at least* 200... that means you want the total to be 200 or bigger. You write it like this

8x+10y ≥ 200

you can simplify this. Divide both sides (all terms) by 2
4x + 5y ≥ 100
add -4x to both sides
5y ≥ -4x + 100
divide both sides by 5
\[ y ≥ -\frac{4}{5}x + 20 \]

Answer 16

notice that when x is 0, you get y≥ 20
that tells you you want a graph that is shaded so that at x=0, the numbers on the y axis above 20 are shaded in. That leaves you with choices B and D

But you want the graph that shows the line y = -4/5 x + 20
it has a slope of down 4 and over 5.
Graph D is too steep. That leaves choice B as the answer.