Answer:
f(x) = 0.5x + 5
Domain: positive whole numbers
Range: f(x) ≥ 5
Step-by-step explanation:
Let's x denote the total number of fruit juice.
This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.
Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:
f(x) = 0.5x + 5
The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").
The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.
Answer:
(A) 2/12 or 1/6. (B) 2/12 or 1/6 (C) 4/12 or 1/3.
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
Answer:
3:36PM
Step-by-step explanation:
Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.
Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at 
capacity, we can use the equation:
This shows of his tank's capacity (
) is equal to 
gallons. This means he will stop for gas when gallons are remaining.
Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.
This is a simple proportion, and now we know he uses 
gallons of gas per hour.
Now we can how many hours of gas Leon has left.
He has 
gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.
The 
is because Leon doesn't stop when his tank is empty, he stops gallons earlier. We are dividing by because that is how much gas he uses per hour, meaning the result of this division (
) is how many hours he has left.
Now we can solve for what time Leon will stop to get gas.
12PM + 
hours of driving + the remaining hours = 3:36PM
( hours is equal to 1 hour and 36 minutes)
Therefore, Leon will stop for gas at 3:36PM
Answer:
Correct choice is B
Step-by-step explanation:
For the numbers -1 and 59, find the difference 59-(-1):
since 59-(-1)=60 and 
(two arithmetic means tells you there will be three intervals), two arithmetic means will be
The only correct sequence is -1, 19, 39, 59.
