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
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Answer:
d=45t
Step-by-step explanation:
to find speed you divide the distance by the time. 67.5/1 1/2 = 45
First we need to know what number 2*5*7 gives us. That's the same as 10*7=70. So the question is asking how many multiples of 70 are between 1 and 700. Let's list them:
70
140
210
280
350
420
490
560
630
700
So there are 10 integers from 1 to 700 that are divisible by 2, 5, and 7.
Answer:
i cant see the picture
Step-by-step explanation:
post it again
Ans: f(x)=7sin(4pix) + 3
We see the period, which is equivalent to 2pi divided by the coefficient of the argument of the trigonometric function, is 1/2 since 2pi/4i = 1/2
We see the maximum value of f(x) is 10 since sin(x) is bounded such that -1 < sin(x) < 1, therefore -7 < 7sin(x) < 7. And since we are adding 3 at the end of the equation, we can say the graph of 7sin(x) is shifted vertically 3 units, thus we have a max value of 10 and min value of -4 ( -4 < 7sin(x) + 3 < 10)
The y-intercept is seen as 3 since the sine function, at 0 radians i.e. x=0, has a value of 0 at the origin, this from the +3, we see the y-value of f(x) at the origin is 3.
