7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
1 answer:
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Answer:
The number of Diplo pops D = 18
The number of sneakers S = 12
Step-by-step expla nation:
Given:
Cost of one Diplo pops = $.50
Cost of one sneakers = $.60
Total number of candies purchased = 30 pieces
cost of the number of candies purchased = $16.80
To Find:
Number of each type of candies = ?
Solution:
Let
The number of Diplo pops be D
The number of sneakers be S
Total number of candies = 30
S+D = 30
S= 30 - D--------------------------------------(1)
and cost of 30 candies is $16.80
S(0.50) + D(0.60) = 16.80----------------(2)
Substituting (1) in (2)
(30 - D)(0.50) + D(0.60) = 16.80
15 - 0.50D +0.60D = 16.80
15 + 0.10D = 16.80
0.10D = 16.80 - 15
0.10D = 1.80
D =
D = 18
So the number of Diplo pops = 18
Number of sneakers S= 30 - 18 = 12
Answer:
.
Step-by-step explanation:
Over this interval, the change in the value of this function is:
.
The corresponding change in the value of :
.
The average rate of change of function over this interval is equal to the change in the function value divided by the corresponding change in
:
.
Thus, the average rate of change of over the interval
would be
.
Answer:
Step-by-step explanation:
<h2>Determine the equation form of the inequality</h2><u>Given function form</u>
Point-Slope form : y = mx + b
- m = slope
- b = y-intercept
<u>Given the information from the graph</u>
Since the graph crosses (0, 2), b = 2
<u>Find the slope</u>
<em>Choose any two points from the graph</em>
(x₁, y₁) = (0, 2)
(x₂, y₂) = (2, 3)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (3 - 2) / (2 - 0)
Slope = 1 / 2
m = 1 / 2
Therefore, the equation form of the inequality is <u>y = (1/2)x + 2</u>
<h2>Determine whether it is ≤ or ≥</h2>Since it is a <u>solid line</u>, the values on the line are also included. Thus, it must be either greater than or equal to, or less than or equal to.
The shaded region is below the solid line, therefore, it is<u> ≤</u>
Therefore, the inequality is
To double-check the sign, we can substitute (0, 0) into the inequality to see whether it is true.
y ≤ (1/2) x + 2
0 ≤ (1/2) 0 + 2
0 ≤ 2 TRUE
Hope this helps!! :)
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