Answer:
<u>The number of copies that will make it worth the discount card is 250.</u>
Step-by-step explanation:
1. Let's review the information provided to answer the question correctly:
Cost per copy without discount = US$ 0.08
Cost per copy with discount = US$ 0.05
Cost of discount card = US$ 7.50
2. How many copies will make it worth the discount card?
For finding out this number of copies, we will use the following equation:
x = Number of copies that will make it worth the discount card
0.08x = 0.05x + 7.50
0.03x = 7.50 (Like terms)
3x = 750 (Multiplying by 100 at both sides)
x = 250 (Dividing by 3 at both sides)
<u>The number of copies that will make it worth the discount card is 250.</u>
Note: Same answer to question 14127203, answered by me today.
C is the answer. (X) can’t be repeated
Im gonna assume you mean 6 - (1/3)x = -1. Your notation is not super clear. If so, solution is as follows:
6 - (1/3)x = -1 [subtract 6 from both sides]
-(1/3)x = -7 [multiply both sides by -3]
x = 21
Given the graph, we need to look for the equation of the line using the linear equation since the plot is obviously a line.
To do that, we need two points. The simplest points to locate are the two points that converges the x and y axes which are (3,0) and (4,0), respectively. Now we apply the linear equation formulation:
y = mx+b
First, we need to get the slope.
m = (y2-y1)/(x2-x1)
m = (4-0)/(0-3)
m = -4/3
Since we know the slope, we need to look for the b which is also the y-intercept or the point at which x = 0.
So at x = 0, which point or value at y-axis hits with the line? It is the point (0,4).
Therefore, b = 4.
Completing the equation,
y = -(4/3)x + 4
or we can write it as
4x + 3y = 12.
Now to know which of the choices is correct, we simply assign values and see for ourselves which is true.
Let x = 2, so y = 2
4(2) + 3y = 12
8 < 12
If you assign more values, you will notice that 4x + 3y is always less than or equal to 12. Thus, the answer is letter a.
