Natalia and her friends held a bake sale to benefit a local charity. The friends sold 15 cakes on the first day and 22 cakes on the second day of the bake sale. They collected $60 on the first day and $88 on the second day. Write an equation to represent the amount R Natalia and her friends raised after selling c cakes.

The name of the assignment is 5-1 Writing Equations In Slope Intercept Form

Answers

Answer 1

Answer:

✅[tex] R = 4c [/tex]

Step-by-step explanation:

The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as [tex] y = mx + b [/tex].

Where,

y = R (amount of cake sold in dollars)

x = c (cakes sold)

m = slope

b = y-intercept.

The equation would look like:

[tex] R = mc + b [/tex]

We need to find the value of m and b, to get an equation to represent the situation.

The first point we have from the information given is (15, 60) => 15 cakes sold for $60.

The second point is (22, 88) => 22 cakes sold for $88.

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{88 - 60}{22 - 15} = \frac{28}{7} = 4 [/tex]

To find b, substitute c = 15, R = 60 and m = 4, into [tex] R = mc + b [/tex].

[tex] 60 = 4(15) + b [/tex]

[tex] 60 = 60 + b [/tex]

[tex] 0 = b [/tex]

Since b = 0, this means there is a proportional relationship between R and c.

Substitute m = 4 and b = 0 into [tex] R = mc + b [/tex] to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.

[tex] R = 4c + 0 [/tex]

✅[tex] R = 4c [/tex]


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which term of the series 2187,729,243...is 1/9​

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Answer:

Step-by-step explanation:

Givens

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Formula

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=================

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Answers

Answer:

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Step-by-step explanation:

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Step by step explanation:

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Answers

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What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

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https://brainly.com/question/14619835

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

12

Step-by-step explanation:

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Step by step explanation

Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree

Answers

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

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The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

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=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

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We are not going to reject the null hypothesis because the information gathered is not enough.

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

I hope this is what you mean

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Answer:

There are 64 trucks!

Step-by-step explanation:

sec²A-cosec²A=(tanA+cotA)(tanA-cotA)​

Answers

Answer:

Step-by-step explanation:

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