Answer:
y=x+3
Step-by-step explanation:
1.) Find slope
slope = (-1-3)/(-4-0)
= -4/-4
= 1
2.) Use point slope form
<u>y-y1= m (x-x1) </u>
both x1 and y1 are the points
m is the slope
3.) Plug in the numbers
for the points I chose (0,3) to plug in
y-3= 1 (x1-0)
y-3= x
y= x+3
Given 2.50x + 3.50y < 30.
Where x represent the number of hamburgers and y represent the number of cheeseburgers.
Now question is to find the maximum value of hamburgers Ben could have sold when he has sold 4 cheeseburgers.
So, first step is to plug in y=4 in the given inequality. So,
2.50x+3.50(4)<30
2.50x+14 <30
2.50x<30- 14 Subtracting 14 from each sides.
2.50x< 16
Dividing each sides by 2.50.
x<6.4
Now x being number of hamburgers must be an integer , so tha maximum value of x can be 6,
thus x = 6 hamburgers
So, the maximum value of hamburgers Ben could have sold is 6*2.5=$15
Hope this helps!!