Karim uses a total of 20 cups of batter to make x cupcakes and a cake. He uses cup of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes, x, can Karim make if he uses all the batter?

Step-by-step explanation:

Total cups of batter = 20

He uses 4 cups for cake and the rest for cupcakes

Number of cupcakes is:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: