Question

Help me out with graphs/algebra problems? :(

Answer 1

or you could look at the shading (in relation to the boundary line)

is the shading below or above the boundary line?

it's below, so that's why the inequality is < or \(\large \le\)

Answer 2

the boundary line will be a dashed line or a dotted line if the inequality sign is <

the boundary line will be a solid line if the inequality sign is \(\large \le\)

Answer 3

you're welcome

Answer 4

if y varied directly with x, then

y = kx

for some fixed number k

Answer 5

well the question asks you to see if y varies directly with x

so IF it did, then you would have this form y = kx

Answer 6

so look at row 1

when x = 7, y = 11

y = kx

11 = k*7 ... plug in x = 7 and y = 11, then solve for k

11/7 = k

k = 11/7

-------------------

then look at the next row

x = 8, y = 13

y = k*x

y = (11/7)*x ... plug in k = 11/7

13 = (11/7)*8 ... plug in x = 8, y = 13

13 = 88/7

13 = 12.5714 .... which is false

so that proves y doesn't vary directly with x

Answer 7

ok that's great, yw