Juan has 7 1/2 cups of chopped nuts. He wants to make either banana nut muffins or carrot muffins. The table shows how many
cups of nuts are needed for each batch. How many batches of
carrot muffins can he make if he makes only carrot muffins?

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

-6 is the correct option from the above given options

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5