Which graph represents the given linear function 4x+2y=3

B

Step-by-step explanation:

4x + 2y = 3

(send 2y to the right and 3 to the left)

4x - 3 = -2y

(divide everything by -2)

(4x)/(-2) - 3/(-2) = y

So now we have a function which is like

y = ax + c

c = the y value of intersection point of the equation and the y-axis

a = amount of increase in y values per x value

so in this example:

(4x/(-2)) = (4/(-2))x -> a = 4/(-2) = -2

and

c = -3/-2 = 3/2

So the graph that we're searching for is increasing (-2) y values (so decreasing 2 y values) per 1 x value and has an intersection with the y-axis where y = 3/2

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

9 x 8 divided by (5-3)=36