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NikAS [45]
2 years ago
11

An art studio charges a start-up fee to cover art supplies, plus an additional fee per class. The graph shows the total cost for

different numbers of classes. Find and interpret the rate of change and initial value

Mathematics
1 answer:
Studentka2010 [4]2 years ago
5 0

Answer/Step-by-step explanation:

✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{75 - 60}{1} = \frac{15}{1} = 15

Rate of change (m) = 15

✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.

✔️Initial value is the same as the y-intercept.

To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

The initial value/y-intercept = $30

✅In this context, $30 is the start-up fee to cover art supplies.

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6 0
3 years ago
Substitution for:<br> X-5y=10<br> 2x-10y=20
sergey [27]
Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
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Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
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Combine like terms.
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2(x-5y=10)
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5 0
3 years ago
$30 before tax <br> discount 20% tax 6.4% <br> tip 15%
jeyben [28]

Answer: $30.44

Step-by-step explanation:

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4 0
2 years ago
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Write an essay about your learning on how you solve problems involving integers. (5 points). Take a photo of your answer. (To th
olga55 [171]

Answer:

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