Identifying functions from relations
1 answer:
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Answer:
Step-by-step explanation:
First, to figure out the equation of a line you must find the slope then plug in the coordinates.
In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.
Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.
For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.
Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.
Then you plug in the slope into the equation of a line along with the coordinate.
A line is y = mx + b
Since you found the slope, m = 1/3
They also give you the coordinate (3,5), meaning when x = 3, the y =5.
You plug everything into the equation to solve for b:
5 = (1/3)(3) + b
b = 5 - (1/3 * 3) = 5 - 1 = 4
Since you have values for m and b, the equation can now be constructed as
y = 1/3x + 4
Answer:
9 fruit baskets.
Step-by-step explanation:
Given:
Steve sold 36 fruit baskets for a school fundraiser.
Evie sold 25% of the number of baskets that Steve sold.
<u>Question asked:</u>
How many fruit baskets did Evie sell?
Solution:
<u>As given that Evie sold 25% of the number of baskets that Steve sold.</u>
Number of baskets sold by Evie = 25% of 36
Thus, 9 fruit baskets sold by Evie.