Fred bought a soft drink for 2 dollars and 5 candy bars. He spent a total of 12 dollars. How much did each candy bar cost ?
1.Which equation describes it better?
2 + 5x = 12
5 + 2x = 12
12 + 2x = 5
2x + 5 =12
5 - 2x = 12
Why?

What is the correct answer? *
The candy bar costs 2 dollars.
The candy bar costs 5 dollars.
The candy bar costs 3 dollars.
The candy bar costs 1 dollar.
The candy bar costs 6 dollars.
Why? *

How did you solve this equation?

2 + 5x = 12 - A (Question 1) | The candy bar costs 2 dollars - A (Question 2)

Step-by-step explanation:

Question 1 - Off the bat a soft drink costs $2 so you should deduct $2 from the total amount (12 - 2 = $10). With the difference of $10, it reveals to us that 5 candy bars equal a total of $10. To find out how much each candy bar costs, we simply have to divide 10 by 5 to get the quotient 2. Therefore, each candy bar costs $2.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true