The math club is sponsoring a bake sale. if their goal is to raise at least $200, how many pies must they sell at $4.00 each in order to meet that goal? write, solve, and graph an inequality that represents this situation

The Math Club must sell at least 50 pies to reach the goal

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of sold pies

we know that

The inequality that represent the situation is

Solve for x

Divide by 4 both sides

The solution is the interval ------> [50,∞)

All positive whole numbers greater than or equal to 50

In a number line the solution is the shaded area at right of x=50 (close circle)

The Math Club must sell at least 50 pies to reach the goal

using a graphing tool

see the attached figure

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.