Problem Situation: Susan is making a large batch of salsa. She can spend no more than $30 on ingredients. She buys all of the ingredients except for tomatoes for $6.50. Tomatoes cost $2 per pound. How many pounds of tomatoes, x, can she buy? Inequality That Represents This Situation: 30≥6.50+2x To solve the inequality, you can begin by solving the equation as shown. Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

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calculista calculista · Answer 1 · 2019-04-08T00:34:15+02:00

Answer:

The answer in the procedure

Step-by-step explanation:

Let

x------> the pounds of tomatoes

we know that

The inequality that represent the situation is

[tex]30\geq 6.50+2x[/tex]

solve for x

Subtract 6.50 both sides

[tex]30-6.50\geq 2x[/tex]

[tex]23.50\geq 2x[/tex]

Divide by 2 both sides

[tex]23.50/2\geq x[/tex]

Rewrite

[tex]x\leq 11.75\ pounds[/tex]

so

All the solutions for the inequality

The interval ------> (-∞, 11.75]

All real numbers less than or equal to 11.75

In a number line is the shaded area to the left at x=11.75 (close circle)

see the attached figure N 1

All the solutions for the problem situation

The interval ------> (0, 11.75]

All real numbers greater than zero and less than or equal to 11.75

In a number line is the shaded area between the number zero (open circle) and the number x=11.75 (close circle)

see the attached figure N 2