Answer this question on the picture

Mathematics

1 answer:

vaieri [72.5K]3 years ago

3 0

Answer:

When one variable influences a change in another

Step-by-step explanation:

Causation means that one event causes another event to occur.

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Evgesh-ka [11]

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a cleaning service charges an hourly rate plus a flat fee of $15 for supplies. philip uses the service for 3.5 hours for his spr

Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for $x \geq 0$ , such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

$y = mx + 15$

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

$y = mx + 15$

$232 = 3.5m + 15$