please help!!! due very soon

A) To find the equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly cost of the Splint plan, we can use the given information to find the slope (m) and the y-intercept (b).

Let's denote:

x as the number of monthly minutes used,

y as the total monthly cost.

From the given information:

When x = 330, y = 62.

When x = 780, y = 107.

First, let's find the slope, m:

m = y2-y1/x2-x1

m = 107-62 / 780-330

m = 45 / 450

Now, let's find the y-intercept, b, using one of the points (let's use the point (330, 62)):

y = mx + b

62 = 1/10 × 330 + b

62 = 33+ b

b = 62 - 33

b = 29

Therefore, the equation for the total monthly cost (y) in terms of the number of monthly minutes used (x) is:

y = 1/10 x+29

B) Now, to find the total monthly cost if 659 minutes are used, we'll plug = 659 into the equation:

y = 1/10 × 659 +29

y = 65.9 +29

y = 94.9

So, if 659 minutes are used, the total monthly cost will be $94.90.

10iinaseemii10 10iinaseemii10 · Answer 2 · 2024-03-21T05:59:44+01:00

A) ANSWER -[tex] Y = \frac{1}{10}x \, + \, 29 [/tex]

Step-by-step explanation:

We are looking for an equation to determine how much someone pays for their monthly phone plan based on how many minutes they use.

For this equation,

x represents the number of minutes used each month.

y represents the total monthly cost of the phone plan.

For us to find out how much they pay for each minute, we look at how the total cost changes as they use more minutes. This change in cost is what we call the "slope." It helps us understand how much the cost goes up for every extra minute the person uses their phone. So, if the slope is $0.10, it means they pay an extra $0.10 for every additional minute they talk.

Using the slope formula, which is the change in y divided by the change in x, we can calculate it. For our points (330, 62) and (780, 107):

[tex] Slope = \frac{107-62}{780-330}=\frac{45}{450}=\frac{1}{10} [/tex]

This means for every additional minute used, the cost increases by ⅒ Dollars

Now, to find out the starting cost, or the y-intercept (b), we can use one of the points. Let's use (330, 62). We plug this into the equation

[tex]62 = \frac{1}{10}\times \, 330\, +b\\ 62 = 3 +b\\ b=62-33=29[/tex]

So the answer is - [tex] Y = \frac{1}{10}x \, + \, 29 [/tex]

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ANSWER - B) 94.90

EXPLANATION -

To find the total cost for 659 minutes, we can use the equation we derived in the previous part, where

x represents the number of minutes used and

y represents the total monthly cost of the Splint plan

[tex]Y= \frac{1}{10} \times659+29 \\Y=65.9+29y\\Y=94.9[/tex]

so if a customer uses 659 minutes, the total monthly cost would be $94.90