Answer:
Step-by-step explanation:
Answer:
The linear function is 
The reasonable domain is 
Step-by-step explanation:
Let
x ----> the time in hours
y ---> the distance in miles
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem
The slope is 
The y-intercept is 
substitute

<em>Find the domain for x</em>
For y=120 miles
Find the value of x
substitute the value of y in the linear equation and solve for x




therefore
The domain is the interval [0,2]

Answer:
Step-by-step explanation:
Each of the 2-gallon mixes is made of 8 "parts" of paint, so each "part" is 2/8 gallons = 1/4 gallon = 1 quart. We can let <em>b</em> and <em>y</em> represent the costs of 1 quart of blue and yellow paint, respectively.
Then the cost for <u>2 gallons</u> is ...
3b + 5y = 58 . . . lime green
6b +2y = 64 . . . ocean blue
__
Subtracting the second equation from twice the first gives ...
2(3b +5y) -(6b +2y) = 2(58) -(64)
8y = 52
y = 6.5
From the first equation, ...
3b = 58 -5y = 58 -5·6.5 = 25.5
b = 25.5/3 = 8.5
The cost of 1 quart of blue paint is $8.50; the cost of 1 quart of yellow paint is $6.50.