By the fundamental theorem of calculus,

So we have



Hello!
Let's write some important information contained in the exercise:
• hotdogs: $2.59 (,x,)
,
• hamburgers: $5.29 (,y,)
He needs 11 packages. Let's write it:
• x + y = 11
He spent a total of $39.29. We can write it as:
• 2.59x + 5.29y = 39.29
Now, let's solve these two equations as a linear system:

First, let's isolate x in equation A:

Now, we will replace where's x by 11-y in equation B:

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.
We are given the equation:
F = 2.25+0.2(m-1)
where:
F is the fare
m is the number of miles.
In question 7, we are given that the fare (F) is equal to $6.05 and we need to get the number of miles. To do so, we will simply substitute with the fare in the given equation and solve for the number of miles (m) as follows:
F = 2.25 + 0.2(m-1)
6.05 = 2.25 + 0.2(m-1)
6.05-2.25 = 0.2(m-1)
3.8 = 0.2(m-1)
3.8/0.2 = m-1
19 = m-1
m = 19+1
m = 20 miles
Number 8 is exactly the same, but we will substitute F=7.65 and again solve for m
Yes. It is most likely a proportional relationship.
Divide $55 by 6(hr)
He gets $9.16 an hour, $18.32 for 2 hours, and so on...
Just multiply 9.16 by how many hours you want