Answer:
The value of b is, 8
Step-by-step explanation:
To determine the value of b:
Given:
....[1]
Since, 0x6A represents the hexadecimal form.
To convert this hexadecimal form into decimal form:
⇒(decimal form)
Now we have to convert this decimal form into octal
8 | 106
8 | 13 | 2
| 1 | 5
1
Then, the octal form we get,
Substitute this in [1] we have;
On comparing both sides we have;
b = 8
Therefore, the value of b is, 8
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:
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
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