To measure how much gasoline she uses on her road trip. Hortense makes a graph that shows the amount remaining in the tank as a function of the miles she has driven (see figure). 1.0
Fill Level
200
Miles Driven
400
Which of the following is the domain for this function?
Apositive real numbers from 0 to 400
B. real numbers from 0 to 1
Call real numbers
D. positive integers from 0 to 400

The answer is "Option D"

Step-by-step explanation:

Please find the missing image file of the question, in the attachment.

Hortense created a graph that shows the remaining fuel in a tank according to a driven mile  

if

y=f(x)

y fule remaining in the tank

x mile driven

When the fule is zero, it will not be able to drive and therefore it is probable that the max value "x" will be 400 miles. Because all positive actual figures from o to 400 are also the domain for this function.

dont know

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)