Answer:
- 61, 61, 62, 64, 64, 66, 69, 69, 70, 72, 73, 74, 78, 78
- 69
- 64
- 73
-
<---------------------------------------------------------------------------------------------------------->
10 20 30 40 50 60 70 80 90 100
×--×-×-----×-----×
The slope will be the number that always sits next to x. So the slope in this case is 3/1. Which is rise over run. If it was a fraction, like 1/3, that would mean that the slope is rise one, run three.
If you want to find the y-intercept, you do that by putting a zero in for x, so you want to find the point that the line intersects the y-axis. So x would be zero, and wherever that point is is the y-intercept. In this case:
y = 3x - 1
y = 3(0) - 1
3 times 0 is zero
y = - 1 So, the y-intercept is - 1, or (0,-1)
To sketch the graph, you just place any number in for x or y (x is easier in this case), and solve it.
For example, I am going to say that x equals two.
y = 3(2)-1
y = 6-1
y = 5
So, your point to put on the graph would be (2,5) (x,y)
The answer is A since you have to save at least 325.75$
Answer: 4
<u>Step-by-step explanation:</u>
Let P represent Pete's age today. Let C represent Claire's age today.
2 years ago: P - 2 = 3(C - 2) ⇒ P - 2 = 3C - 6 ⇒ P = 3C - 4
4 years ago: P - 4 = 4(C - 4) ⇒ P - 4 = 4C - 16 ⇒ P = 4C - 12
Use substitution to solve the system above:
3C - 4 = 4C - 12
- 4 = C - 12
8 = C
Plug in the C-value above into one of the equations to solve for P:
P = 3C - 4
= 3(8) - 4
= 24 - 4
= 20
So, Pete is 20 yrs old today and Claire is 8 years old today
When will Pete be twice as old as Claire?
20 + x = 2(8 + x)
20 + x = 16 + 2x
20 = 16 + x
4 = x
Their ages will have a 2:1 ratio in 4 years.