a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300
<h2>
Explanation:</h2>
<h3>PART A.</h3>
From mathematics, we know that
varies directly as
or
is directly proportional to
if and only if:
for some nonzero constant
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.

So,<em> the constant of proportionality is k = 2</em>
<h3>
PART B.</h3>
In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>
Cost of pizzas: brainly.com/question/12878495
#LearnWithBrainly
Answer:
Step-by-step explanation:
a) y-intercept is when x=0
f(0)
=1/(0-3)
=-1/3
g(0)=0 from the graph
b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there
Firstly, find your base. The cost of Monica's swimsuit is your base here. (35)
Next, find Monica's mother's swimsuit cost. (35 x 2 = 70)
After that, add the total cost of those two swimsuits. (105)
Finally, figure out what you have to add to the lesser side to make it even with the higher side. (170 = 105 + 65)
Monica's father's swimsuit would cost $65.
For reference, your equation could look like:
35 + 35 x 2 + X = 170