Cara has driven one-fifth of the total distance, d, to her destination. which statement explains why both 1/5d and 0.2d can find the distance she has driven? a multiplying by 15 is the same as multiplying by 2%.b the fraction 15 is the same as the decimal 0.8. therefore, 1/5d can be written as 0.8d. c multiplying by 15 is the same as multiplying by 20%.d the expressions are not equivalent.

The correct answer is option C, Multiplying by 1/5 is the same as multiplying by 20%.

Step-by-step explanation:

The equation 1/5 = 1 divided by 5 = 0.2

and 0.2 can be expressed as 20%

Thus both the factor 1/5 and 20 % are same

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps