What if? alexa and zack are solving the following problem.
the number of miles on car a is 50 miles more than the number of miles on car b, and the number of
miles on car b is 30 miles more than the number of miles on
car c. all the cars travel 50 miles in 1 hour. after 1 hour, twice the number of miles on car a is 70 miles
less than 3 times the number of miles on car c. how many miles were there on car b initially?
alexa assumes there are m miles on car b. zack assumes there are m miles on car c. will zack's answer be
the same as alexa's answer? explain.

1. 310 miles

2. Yes, the final value of miles for car A,B&C in both formulas is the same

Step-by-step explanation:

Using Zack method, lets assume there are m miles on car C

Car C=m miles

Car B= 30 miles more than those in car C = m+30 miles

Car A= 50 miles more that those in car B= 50+m+30= m+80 miles

Given after 1 hour of travel covers 50 miles

Car C=m-50 miles

Car B=m+30-50=m-20 miles

Car A= m+80-50 = m+30 miles

Condition

After 1 hour twice the miles covered by car A is less 70 miles , three times the miles on car C

This means

2(30+m) + 70 = 3(m-50)solve for m

60+2m+70=3m-150

130+2m=3m-150

130+150=3m-2m

280=m

Answers

Initial number of miles in ;

Car A=m+80 = 280+80= 360 miles

Car B= m+30 = 280+30=310 miles

Car C= m= 280 miles

Using Alexa formula

Initial

Car A=m+50 miles

Car B= m miles

Car C= m-30 miles

After 1 hour, subtract 50 miles from each car

Car A= m+50-50 = m miles

Car B= m-50 miles

Car C= m-30-50= m-80 miles

Condition

Twice the number of miles on Car A is 70 miles less than three times the number of miles on car C

2m+70=3(m-80)

2m+70=3m-240

70+240=3m-2m

310=m

Answers

Initial;

Car A=m+50=310+50=360 miles

Car B=m= 310 miles

Car C= m-30 =310-30=280 miles

Conclusion

Zack's answer will be the same as Alexa's answers.Changing the position of the variable m doesnot affect final results of miles in the cars.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)