Hey guys! Please help paraphrase( The Great Wall of China is a huge protective barrier that was built across the historical northern borders of ancient Chinese states and Imperial China. It's purpose was to protect everyone against various nomadic groups from the Eurasian Steppe. Several walls were constructed from as early as the 7th century BC. Later, they were joined together with selective stretches by Qin Shi Huang, the first emperor of China. Not much of the Qin wall remains. Later on, many successive dynasties have built multiple stretches of border walls. The most popular and well-known sections of the wall were built by the Ming dynasty.

Some other purposes of the Great Wall include border controls, allowing the infliction of duties on goods transported along the Silk Road, regulation and encouragement of trade, and the control of immigration and emigration. Furthermore, all of the defensive characteristics of the Great Wall were increased and improved by the construction of garrison stations, signaling capabilities, watchtowers, troop barracks through the means of smoke or fire, and the fact that the path of the Great Wall also served as a 'transportation corridor'.

The Great Wall of China is a massive defensive structure that spans the historical northern boundaries of ancient Chinese kingdoms and Imperial China. Its objective was to safeguard everyone from diverse Eurasian Steppe nomadic clans. As early as the 7th century BC, several walls were built. Qin Shi Huang, China's first emperor, later connected them together with chosen stretches. There isn't much of the Qin wall left. Many following kingdoms would later construct multiple lengths of frontier walls. The Ming dynasty constructed the most renowned and well-known parts of the wall.

Border restrictions, allowing the imposition of tariffs on products transported along the Silk Road, trade regulation and encouragement, and immigration and emigration control are some of the other purposes of the Great Wall. Furthermore, the construction of garrison stations, signaling capabilities, watchtowers, soldier barracks through smoke or fire, and the fact that the Great Wall's course also acted as a 'transportation corridor' reinforced and improved all of the Great Wall's defensive attributes.

in the problem you wrote said that the taxi charges $0.070 per mile(which would be 7 cents per mile), but then in your suggested equation you have it as $0.70 per mile (which is 70 cents per mile).

the latter seems more realistic, so i will assume that the taxi costs $5.00 and charges $0.70 per mile with tolls costing an additional $3.50. and it asks you to find how far you can travel on $36.50.

let x the number of miles traveled. since the taxi charges $0.70 per mile, multiplying this by the miles traveled (x) will yield the cost of the taxi ride as far as how far it took you. then adding this amount to the cost of the taxi ($5.00) and the additional cost for the tolls ($3.50) will give you the total cost of the taxi ride ($36.50)

that is,

            (0.70)x + 5.00 + 3.50 = 36.50

adding the like terms on the left-hand side of this equation, we arrive at the following:

            (0.70)x + 8.50 = 36.50

subtracting 8.50 from both sides of the equation, we get:

            (0.70)x = 28.00

to solve for x, divide both sides of the equation above by the coefficient of x (that being, 0.70):

            x = 40

thus, you can travel up to 40 miles on $36.50