18. You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you want to buy a pair of pants, which will have 4% sales tax.

a.) What is the inequality that represents the amount of money you have to spend?

b.) Given that you can spend no more than $60, what is the most a pair of pants could cost?

a. pants + tax + drink ≤ 60 b. $56.16

Step-by-step explanation:

60-1.5 = 58.5 = money left for pants+tax

58.5/100 = 0.585 = 1%

0.585x 4= $2.34 = highest possible tax

58.5 - 2.34 = $56.16 most

pants + tax + drink ≤ 60

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.