You can spend at most $20 on tomatoes and red peppers for a soup. tomatoes cost $2.50 per pound and red peppers cost $4 per pound. write and graph an inequality that represents the amounts of tomatoes and red peppers you can buy.

Answer-

Solution-

The total money that you have or maximum amount that you can spend = $20

Let's assume,

x = Number of tomatoes bought

y = Number of red peppers bought

Price of tomatoes per pound = $2.50

Price of red peppers per pound = $4

Hence,

Total cost of tomatoes = $2.5x

Total cost of red peppers = $4y

As you can spend at most (any amount less than or equal to) $20, so

Taking a point as origin (0, 0) and then putting it in the equation,

As this satisfies, so the shaded region will be towards that point i.e origin

From the graph, the two solutions that are on the boundary line are (8, 0), (5, 0)

y = 3x+4

step-by-step explanation:

to find the slope

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

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

56 44 2 4

step-by-step explanation: