Erica earns a rebate each month on her meals and movie tickets. she earns $3 for each movie ticket and $0.80 for each meal. last month erica purchased 15 meals and earned $18. part a: create an equation that will determine the number of movie tickets she purchased. (3 points) part b: solve this equation justifying each step with an algebraic property of equality. (6 points) part c: how many movie tickets did erica purchase last month?

A) Let t represent the number of tickets Erica bought. The the equation describing her rebates can be written as

... 3t + 0.80×15 = 18

B) Here's the solution to the equation.

... 3t + 12 = 18 . . . . . . simplify; rules of arithmetic

... 3t = 6 . . . . . . . . . . .subtract 12; subtraction property of equality

... t = 2 . . . . . . . . . . . . divde by 3; division property of equality

C) Erica bougth 2 movie tickets last month.

i will pick c put check it over to be sure

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is