Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;



where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
Answer:
OPTION B: 80
SEE THE IMAGE FOR SOLUTION
Answer:
15cm
Step-by-step explanation:
Let x be the arc circumference.
The circumference of a circle usually subtends to 360°, that is, one complete revolution is 360°.
#Given the arc angle as 45° and the circumference as 120cm, the arc circumference can be obtained as:
#Apply proportions to find x:

Hence, the arc circumference is 15cm