Answer:
15%
Step-by-step explanation:
<span>This is asking for a linear function. The base pay is $150, so even if she sells nothing, she cannot be paid less than $150. Because of this, we make that out y-intercept. The number of appliances sold is a variable, so we make that the "X" and multiply that by the amount made ($45) on each additional item sold. You then follow the Order of Operations (PEMDAS) to make your equation.</span>
First solve for the slope, m using the two points given. It doesn't matter which point you choose as point 1 or 2 as long as you're consistent.
m = (y2 - y1)/(x2 - x1)
point 1: (–6.4, –2.6)
point 2: (5.2, 9)
m = (9 - -2.6)/(5.2 - -6.4)
m = (9 + 2.6)/(5.2 + 6.4)
m = 11.6/11.6
m = 1
put the newly found slope into the linear equation for m
y = (1)x + b
y = x + b
Now solve for the y-intercept, b
by putting one of the given points
9 = 5.2 + b
b = 9 - 5.2
b = 3.8
final equation:
y = x + 3.8
(1,3) means that x = 1 and y = 3. Let's make substitutions to see what happens with the inequality
5*x + y < -3
5*1 + y < -3 ... replace x with 1
5*1 + 3 < -3 ... replace y with 3
5 + 3 < -3
8 < -3
This is false. The number 8 is NOT smaller than -3.
So (1,3) is NOT a solution
Answer: Choice A) No
