<em>Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.</em>
<em>So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.</em>
<em>The solution would still clear your concept though.</em>
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
- c(x) or y represents the cost
- 'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
The expression in A is equal to:
y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
y = mx + b
where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B:
The slope of the line can be calculated through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
I think the answer is A, <span>Choosing 3 flavors of ice cream out of 15 for an ice cream sundae.</span>
<span>
Suppose the 3 squirrels all wanted to store acorns for the winter.
Depending on how motivated. Each squirrel was they would end up with
different amounts. For instance suppose the brown squirrel took 4 trips,
the gray squirrel took 2 trips, and the black squirrel took 2 trips.
The Brown squirrel would end up with 8 acorns, the gray squirrel would
have 6 acorns and the black squirrel would have 10. Between them they
took every one of the 24 acorns.
Hope it helps.
</span>
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
here 
so 
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
Take 
therefore 
Now take 
and take 
therefore 
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
