Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Answer:
(x) =
Step-by-step explanation:
let y = g(x) and rearrange making x the subject
y = x - 9 ( add 9 to both sides )
y + 9 = x
Multiply both sides by 5 to clear the fraction
5y + 45 = 3x ( divide both sides by 3 )
= x
Change y back into terms of x, thus
(x) =
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.
4x + 3 < 3x + 6
4x - 3x < 6 - 3
x < 3