Elmer started out with$103 in his bank account .he spent $4 per week at the cafeteria for snacks. what is the slope (m) for this equation?

The equation is

The slope is m=-4

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

where

y is the amount left in the saving account

x is the number of weeks

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to

--> is negative because is a decreasing function

The y-intercept or initial value is

substitute

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.