1.which of the following would save more fuel? a. Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b. Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c. Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.

9514 1404 393

  1. b

  2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons

Step-by-step explanation:

The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...

  gallons = miles/(miles/gallon)

  18 mpg: 1000/18 = 55.6 gallons

  28 mpg: 1000/28 = 35.7 gallons

  34 mpg: 1000/34 = 29.4 gallons

  54 mpg: 1000/54 = 18.5 gallons

So, ...

  replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.

  replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.

Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.

__

The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.