challenge a foreign country uses the stellar as its currency. before a trip to that country, jon wants to…

challenge a foreign country uses the stellar as its currency. before a trip to that country, jon wants to exchange $1,700 to stellars. which of bank a and bank b has a better exchange rate? how many more stellars would he get if he exchanged his $1,700 at the better exchange rate instead of at the other rate? which bank has the better exchange rate? bank b bank a jon would get more stellars if he exchanged his $1,700 at the better exchange rate.
Answer
Explanation:
Step1: Calculate Bank A's exchange - rate
The exchange - rate of Bank A is found by dividing the number of stellars by the number of dollars. Using the first row of Bank A's data ($80$ dollars and $472$ stellars), the exchange - rate $r_A=\frac{472}{80}=5.9$ stellars per dollar.
Step2: Calculate Bank B's exchange - rate
From the graph of Bank B, when $x = 25$ dollars, $y = 150$ stellars. The exchange - rate $r_B=\frac{150}{25}=6$ stellars per dollar. Since $r_B>r_A$, Bank B has the better exchange rate.
Step3: Calculate stellars from Bank A for $1700$ dollars
The number of stellars from Bank A for $1700$ dollars is $n_A = 1700\times5.9=10030$ stellars.
Step4: Calculate stellars from Bank B for $1700$ dollars
The number of stellars from Bank B for $1700$ dollars is $n_B = 1700\times6 = 10200$ stellars.
Step5: Calculate the difference
The difference in the number of stellars is $\Delta n=n_B - n_A=10200 - 10030 = 170$ stellars.
Answer:
170