Arecipe for 12 bran muffins calls for 1 cup of flour. the number of muffins that can be made varies directly with the amount of flour used. there are 1 and 1/4 cups of flour available. how many muffins can be made?

12 muffins = 1 cup

x = 1 1/4 cups

x = 5/4 cups

cross multiply:

12*5 / 4 = x * 1

3 * 5 = x

x = 15

Answer = 15 Muffins

Other way:

1 1/4 cups = how many muffins

you already know 1 cup = 12 muffins

remaining 1/4 cups = how many muffins?

1/4 of 12 = 3

So 12 + 3 = 15 muffins

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.

addition

step-by-step explanation: