At a bakery, if a costumer purchases fewer than 5 bagels, the cost of each bagel is $1.75. if a customer purchases 5 or more bagels the cost of each bagel is $ 1.25. let b be a function for which b(x) is the cost of purchasing x bagels, where x is a whole number. which of the following represents an equation for b(x) ?

a: { 1.75x, x < 5
{ 1.25x, x greater than equal to 5

b: { 1.75x, x less than equal to 5
{ 1.25x, x > 5

c: { 1.25x, x < 5
{ 1.75x, x greater than equal to 5

d: { 1.25, x less than equal to five
{ 1.75x, x > 5

A: { 1.75x, x < 5

{ 1.25x, x greater than equal to 5

Step-by-step explanation:

Let x represent the the number of bagels that a costumer purchases

if a costumer purchases fewer than 5 bagels, the cost of each bagel is $1.75. It means that the total cost of the fewer bagels would be 1.75 × x $1.75x.

If a customer purchases 5 or more bagels the cost of each bagel is $ 1.25. It means that the total cost of the bagels would be 1.25 × x $1.25x.

Let b be a function for which b(x) is the cost of purchasing x bagels, where x is a whole number. Then the equation for b(x) would be

A: { 1.75x, x < 5

{ 1.25x, x greater than equal to 5

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.