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almond37 [142]
3 years ago
11

Can you explain to me the answers in a and b?

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

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 y varies directly as x or y is directly proportional to x if and only if:

y=kx for some nonzero constant k.

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.

We \ know \ that: \\ y=kx \\ \\ \\ Solving \ for \ k: \\ \\ k=\frac{y}{x} \\ \\ k=\frac{10}{5} \\ \\ \boxed{k=2}

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:

For \ x=150 \ and \ k=2: \\ \\ y=2(150) \\ \\ \boxed{y=300}

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

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