This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon. morning afternoon total grade 6 15 8 23 grade 8 18 21 38 grade 10 12 26 38 total 45 55 100 a. How many students participated in the survey? b. How many students in grade 8 prefer to have gym in the morning? c. How many grade 10 students participated in the survey? d. How many students prefer to have gym in the afternoon? **When you give your answers, label them as a, b, c, and d.

i believe that the slope of the line is -5

step-by-step explanation:

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