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  4.  2.5x +15y > 510

  5.  y > 10

Step-by-step explanation:

4. The revenue from each of x cupcakes is 2.50, so the total revenue from cupcake sales is 2.50x.

The revenue from each of y cakes is 15.00, so the total revenue from cake sales is 15.00y.

The total revenue from sales of cupcakes and cakes is more than 510, so we can write the inequality ...

  2.5x +15y > 510 . . . . possible combinations of cakes and cupcakes

__

5. For x=144 the constraint on y is ...

  2.5(144) +15y > 510

  360 +15y > 510

  15y > 150

  y > 10 . . . . possible number of cakes sold

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.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas