Brandon earns a rebate each month on his meals and movie tickets. he earns $0.50 for each movie ticket and $2 for each meal. last month brandon purchased 22 movie tickets and earned $25. part a: create an equation that will determine the number of meals he purchased. (3 points) part b: solve this equation justifying each step with an algebraic property of equality. (6 points)

Let ticket be x and meal be y

So $0.50 for each movie ticket = 0.50x

$2 for each meal = 2y

He purchased 22 tickets, so x = 22

0.50 * 22 = $ 11

Now the total value is $25 (with both ticket and meal)

total = t

0.50x + 2y = t

you know x = 22 and t = 25

11 + 2y = 25

Part A)

2y = 25 -11

y = 14/2

y = 7

Number of meal is 7

Part B)

(don't know about part B)

0.50x + 2y = 25

0.50(22) + 2(7) = 25

11 + 14 = 25

25 = 25

7200

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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