You are running a fuel economy study. One of the cars you find is blue. It can travel 41 1/2 miles on 1 1/4 gasoline. Another car is red. It can travel 21 3/5 miles on 4/5 gallon of gasoline. What is the unit rate of each car? Which car could travel a greater distance on 1 gallon of gasoline?

Step-by-step explanation:

We want to study the fuel consumption of each car, i.e the amount of mile per gallon the cars will consume

Step one:

given data:

First car

distance covered= 41 1/2 = 41.5miles

amount of gallons= 1 1/4= 1.25gal

the miles per gallons= 41.5/1.25=33.2 miles per gallon

Second car

distance covered= 21 3/5= 21.6miles

amount of gallons=4/5=  0.8gal

the miles per gallons= 21.6/0.8=27 miles per gallon

1. Therefore the unit rate of

the first car = 33.2 miles per gallon

the second car=27 miles per gallon

2. the first car can travel a greater distance on 1 gallon of gasoline

a and c

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;