Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.
Answer:
y = - 5x + 8
Step-by-step explanation:
Given that :
Intercept = 8
Slope = - 5
Recall, the general. Slope - intercept equation :
y = bx + c
Where;
b = slope ; c = intercept
Plugging the Given slope and intercept values, equation becomes ;
y = - 5x + 8
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using 
.
Now that we have our slope, we can plug it into our slope-intercept form to solve for b.
The slope-intercept form is 
.
For the third one, we are already given the slope, so all we have to do is find b.
The slope-intercept form is 
.
For the last one, we need to first find the slope using .
Now that we have our slope, we can plug it into our slope-intercept form and find b.
Our slope-intercept form is 
.
Answer:
36.97+9.48
=$46.45
Step-by-step explanation:
hope it helps
