Answer:
see the procedure
Step-by-step explanation:
we have

where
c -----> the cost in dollars
g ----> the number gallons of gas purchased
1) For g=1 gal
substitute the value of g in the equation and solve for c


The pair (1,2.95) fit the relationship
2) For g=3 gal
substitute the value of g in the equation and solve for c


The pair (3,8.85) fit the relationship
3) For g=5 gal
substitute the value of g in the equation and solve for c


The pair (5,14.75) fit the relationship
4) For c=$20.65
substitute the value of c in the equation and solve for g



The pair (7,20.65) fit the relationship
the amount of time of the two trips is a proportional relationship
<h3>What is proportional relationship?</h3>
mathematical expressions are said to be proportional if there unit rate are equal. this means that the expressions will give similar results when similar values are substituted into the equation.
<u>solution:</u>
Driving 7 hrs within 385 miles represents a unit rate of 385 / 7 = 55 miles per hour or 55 mph
while 3 hrs in 165 miles represents a unit rate of 165 / 3 = 55 mph
since both situations gave similar speed in miles per hour they are said to have a proportional relationship.
Read more on proportional relationship here: brainly.com/question/12242745
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It's <span>Diophantine equation.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2
So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.

So, we can solve it.
Now is the formula:

Second, we need the first pair (x0,y0)
if
x=0
then

Third, we gonna use that formula:

Congratulations! We solve it.
Answer:
4
Step-by-step explanation:
1 batch = 2/3
so 6 batches = 2/3 * 6
and 2/3 *6 = 4 !
Answer:
Step-by-step explanation:
(0,2\5)
Slope=4\5
X(4\5)=y-2\5
Y=(4\5)x +2\5