[Please help with this question and please explain.

Step-by-step explanation:

this is a linear equation ( y = mx + b)

m = the rate at which it increases

b = the amount they start with

x = the number of correct answers

so the equation is y = 3x + 2

to find y, you just plug in x

ex:

when x = 3

y = 3(3) + 2

y = 9 + 2

y = 11

to find the x value when you have a y value you plug in the y to solve for x

ex:

when y = 29

29 = 3x + 2

27 = 3x

x = 27/3

x = 9

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64