Dave is buying pizza and soda. Suppose that a slice of pizza and a can of soda each cost $4
Let E be the amount in dollars that Dave spends on pizza and soda. If Dave buys P slices and S cans of soda, which one of the following equations correctly describes the amount of money he spends?
E= 4P+4S
E= P+4S
4E=P+S
E= P+S
Now rearrange the equation you wrote above so that S is written in terms of E and P. Which of the following is correct?
S=E-P
S=P+E
S=(1/4)E-P
S=4E-4P
S=E-4P
and then I have to graph it out of the last 18 questions I have got 3 wrong this one I can not get for the life pf me, its like trick terminology or I am overlooking something. Can someone help please.
The graph then says based on the budget constarints where each S and P are 10 with a line drawn straight down, how much money does Dave have?
To determine the correct equations and solve the problem, let's break it down step by step:
1. First, we need to find the equation that describes the amount of money Dave spends on pizza and soda. We are given that a slice of pizza and a can of soda each cost $4. Let's use the variables P for the number of pizza slices and S for the number of cans of soda.
Since each slice of pizza costs $4, the total amount of money spent on pizza is 4P. Similarly, since each can of soda costs $4, the total amount spent on soda is 4S.
Therefore, the equation that correctly describes the amount of money Dave spends is:
E = 4P + 4S
2. Next, we need to rearrange the equation to solve for S in terms of E and P. To do this, isolate the variable S on one side of the equation. Let's rearrange the equation we found in step 1:
E = 4P + 4S
Subtract 4P from both sides:
E - 4P = 4S
Divide both sides by 4:
(E - 4P)/4 = S
Simplifying further:
S = (E - 4P)/4
Therefore, the correct equation for S in terms of E and P is:
S = (E - 4P)/4
Now, let's address the last part of the question about graphing.
If each S and P is equal to 10, it means Dave buys 10 slices of pizza (P = 10) and 10 cans of soda (S = 10).
We can substitute these values into the equation we found in step 1 to calculate the total amount Dave spends:
E = 4P + 4S
E = 4(10) + 4(10)
E = 40 + 40
E = 80
Therefore, Dave has $80.
I hope this explanation helps!