Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.
y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.
y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.
y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.
Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
Answer:
2/5 of an inch per minute
Step-by-step explanation:
You can set up the rate as 
. From here to find the amount of rain per minute, just multiply the numerator and denominator by 6/5 (The reciprocal of 5/6, so you can have one minute and see how much rains fills up in that time.)
You end with 2/5 of and inch per minute
Answer:
x = -2
Step-by-step explanation:
First, add 1/3 to both sides. You end up with 5/6x = -5/3. Next, you divide both sides by 5/6. You should finish with x = -2.
<span>The table shows the outputs, y, for different inputs, x:
Input (x) 1 3 5 7
Output (y) 8 6 5 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.
Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)
x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20
While the image of 3 in the data is y = 6.
So, the function f(x) = 4x + 8 has a greater value when x = 3.
Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.
f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68
=> x = 68/4 = 17
</span>
Answer:
So x changes by 10 and the you do 25-6.25
then y/x =1.875x
