Solving proportional relationships. 1) Pamela drove her car 234 miles and used 9 gallons of fuel. She wants to know how many miles she can drive with 30 gallons of fuel. She assumes the relationship between miles and fuel is proportional.​

Step-by-step explanation:

Since Pamela's car's MPG (miles-per-gallon) is maintained, we can set up the following proportion:

, where is the number of miles she can drive with 30 gallons of fuel.

Multiply both sides by 30:

Therefore, Pamela can drive 780 miles with 30 gallons of fuel.

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.

a

b

d

step-by-step explanation: