A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
PLEASE HELP! At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $24.25 when the number of gallons sold is 5, find a linear equation that relates revenue R to the number of g of gallons of gasoline. then find the revenue R when the number of gallons of gasoline sold is 13.5.
 2 years ago
PLEASE HELP! At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $24.25 when the number of gallons sold is 5, find a linear equation that relates revenue R to the number of g of gallons of gasoline. then find the revenue R when the number of gallons of gasoline sold is 13.5.

This Question is Closed

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Hello, do you understand how to find the equation of a line?

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0so how will the variables fit into the equation?

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, we need two points to find the slope of the linear equation

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Our first point shall be (5, 24.25)

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Can you think of another point that we can intuitively know given the question?

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0(x, 13.5) doesn't give the x value

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, we know how much revenue the company makes when they sell 0 gas, correct?

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1How much revenue will they make when they sell 0 gas?

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0wouldn't it just be 0

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1the equation for the slope of a line is \[m=\frac{y_1y_2}{x_1x_2}\]

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1We now have two points (0,0) and (5, 24.25)

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Do you see how if we plug in these two points, we can obtain the slope m?

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0slope would be 4.85

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1We know that the equation for a line is y = mx + b

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1and we have the value of m

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1we also have the value for y and x

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1If we plug in these values, m, x and y, then all we have to find is b

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0would the equation be y= 4.85x+48.5?

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Do you see what b must equal?

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1We now have the full equation

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0equation will be y=4.85x+0

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Now you just need to find y = 4.85(13.5)

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0wouldn't the 13.5 be in place of y and not x since the point is (x, 13.5)

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1no, the amount of gas is your x variable

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1the profit is your y value

flutterflies
 2 years ago
Best ResponseYou've already chosen the best response.0so the answer would be 65.47

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1You're welcome, good work!

mjr632
 2 years ago
Best ResponseYou've already chosen the best response.1Did you need any help with any other questions?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.