making-models-write-an-algebraic-formula-that-models-the-given-quantity-15-the-cost-c-of-purchasing-

Question

Making Models : Write an algebraic formula that models the given quantity.

15. The cost $C$ of purchasing $x$ gallons of gas at $\$ 3.50$ a gallon

Ankit Gupta · Answer

So, Hellestrae, Now we&#x27;re good, Understand? Discussion on it is given this course See? Opportunity. Excellent guess at $3.50. So gosh, see with this What it together and cost is 3.5 Gerada. But understand for it together. Three point pipe Jiro Dollar cost part one girl. So for two gallon, 3.50 in tow to if you cost off Google. And 3.50 in three he washed off three gallon. So similarly, 3.5 digital similarly in x gosh off ex gallon so we can conclude here that cost is 3.5 Jiro X. So this is the mortal. What would you have looking part?

Taylor Shimono · Answer

our problem asked us to find the cost sea of ex gowns and guess where gas is $3.50 per gallon. So are crucial piece of information. Here is this one that says gas is $3.50 per gallon. So what this is saying is essentially that one gallon of gas is going to cost us $3.50 so I can apply this to, say, two gowns. And guess so two gallons of gas is going to be equal to our same $3.50. But times two. And this is because, basically, we can just add one gallon plus one gallon will be two gallons, so the price will be $3.50 plus $3.50 which is going to just be equal to two times 3 50 So this can also be applied to any number of gallons. To guess that you have so say, for instance, we had seven gallons of gas, then our costs would be $3.50 times are seven gallons. So the problem ass asks us to find the cost. See, in terms of X and that is our number of gallons of gas. So what we found above is your sick are our cost is thrillers 30 cents times the number of guns that we have. So our cost equals 3 50 times are x number of gallons, and so we can plug in our gallons to double check that. This is right. So say we had one gallon X equals one that our cost is $3.50 which is exactly what we said above up here. And the same thing for our seven gallons of gas. If X equals seven, our cost is 3 50 I&#x27;m seven, which is again exactly what her answer was.

Ankit Gupta · Answer

So, Hellestrae. Now we&#x27;re going to understand this question. It is a restaurant bill. If you talk, it is given The story will, which is X dollar xidan now 15% So X into 15 15% which is 15 extra by 100 which is 5 15 and 500 was just three upon 20 x dollar. So this is a This is the total amount on X y his bill. So total amount Equal toe build X plus people three upon 20 x Solving this Tortola won&#x27;t be equal toe 23 up on don&#x27;t be X to visit the mortar.

Taylor Shimono · Answer

thiss problem. Access to making model for the amount team of a tip that is going to be 15% tip on a restaurant bill of X dollars. So we&#x27;re going to set this problem up as thinking about it in terms of what exactly does it tipped me. So a tip is going to be a proportion essentially of the total restaurant bill. So since we know we want a 15% tip, then we&#x27;re going to just write this as 15 over 100 which is saying that say you had a $100 bill, then your tip would be $15 because 15 divide by 100 is going to give you 15% so that is going to equal t r kicked him out over X. So the reason that this works is because basically, we want t over X to be the same proportion as our tip AR 15 over 100 and because the question asked us to model T in terms of the 15% tip and X dollars, we want to solve this problem by getting t all by itself. So to do so, we&#x27;re going to multiply both sides of the equation by our ex those times x Times X Because on the right side here, sex is in our denominator. So we&#x27;re going to get rid of it. So we get t equals 15 over 100 Times X. And then for the sake of simplification, we&#x27;ll just write this as t equals 0.15 Thanks. No.

Brandon Fox · Answer

to write an equation for this problem. We will take the gallons of gas that were buying and this will be times the price of the gasoline or the costs. All put P for price for a gallon. So 13 gallons times the price for every one of those gallons. And the total price that we paid is 30 to 37 so $32.37. So, in this case here, we can determine the price p by solving this equation Now, we&#x27;re gonna go ahead and divide both sides by 13 to solve for P. So the P the price per gallon is 30 to 37 and we divide by 13. Now, this is gonna give me $2.49. A P equals to 49. This is the price per for every gallon per gallon. So now we want to take this to 49 this price per gallon, and we want to determine how much wouldn&#x27;t have caught. What would it cost us to get 18.5 gallons of gas? So since we know this is what it costs for every gallon, let&#x27;s take 18.5 and multiply it by how much it costs for every one of those gallons to 49 2.49. So I&#x27;ll take 18.5 and multiply by 2.49 And I get 46 0.65 Now that five I&#x27;m gonna one around to the penny here, cause dollars is dollars and then pennies to decile places. This five is gonna make this six round up. So 46.7 So the cost is $46.7.

Problem

Making Models : Write an algebraic formula that m…

Problem 15 Easy Difficulty

Making Models : Write an algebraic formula that models the given quantity.

15. The cost $C$ of purchasing $x$ gallons of gas at $\$ 3.50$ a gallon

Answer

$C=3.50 x$

Related Courses

Algebra and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Grace H.

Catherine R.

Heather Z.

Alayna H.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 0

Video Transcript

James Stewart, Lothar Redlin, Saleem Watson

Algebra and Trigonometry

Grace H.

Catherine R.

Heather Z.

Alayna H.

Absolute Value - Example 1

Absolute Value - Example 2

Additional Mathematics Questions

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

$C=3.50 x$

Algebra and Trigonometry

Grace H.

Catherine R.

Heather Z.

Alayna H.

Absolute Value - Example 1

Absolute Value - Example 2

James Stewart, Lothar Redlin, Saleem WatsonAlgebra and Trigonometry

Grace H.

Catherine R.

Heather Z.

Alayna H.

James Stewart, Lothar Redlin, Saleem Watson

Algebra and Trigonometry