Answer:
1. D
2. D
3. B
Step-by-step explanation:
1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D
2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D
3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.
x-intercept: y=0
3x-8(0)-12=0
3x-12=0
3x=12
x=4
=> (4,0)
y-intercept: x=0
3(0)-8y-12=0
-8y-12=0
-8y=12
y=-3/2
=> (0,-1.5)
So the answer is B
4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C
I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!
Answer:
The answer of CGF is 3.................
Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10
4+2=6
so it’s not a solution
Answer:
x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.
Mr. Sanchez’s class earned more money by $10.4.
Step-by-step explanation:
Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.
Let the number of sold fruit pies is x and bottles of fruit juice is y.
So, from the given condition we can write
x + y = 60 ........ (1)
⇒ 1.4x + 1.4y = 84 ....... (2) and
1.55x + 1.4y = 88.20 ........ (3)
Now, solving equations (2) and (3) we get (1.55 - 1.4)y = (88.2 - 84)
⇒ y = 28
And from equation (1) we get x = 60 - 28 = 32.
Therefore, Mr. Sanchez’s class earned more money. (Answer)
Now, this class have earned $(32 × 1.55 - 28 × 1.4) = $10.4 more. (Answer)
