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svet-max [94.6K]
3 years ago
10

The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Equation of the line in point slope form is y + 7 = -5(x - 2)

Step-by-step explanation:

  • Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-7) = -5(x - 2)

⇒ y + 7 = -5(x - 2)

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The linear function that models the total cost for x deliveries is:

y(x) = 2x + 9

-------------------

A linear function has the following format:

y = mx + b

In which

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

In this problem:

  • Fixed cost of $9 per month, b = 9.
  • Cost of $2 for each delivery, thus m = 2.

The function for the <u>total cost for x deliveries is:</u>

y(x) = 2x + 9

A similar problem is given at brainly.com/question/16270359

4 0
3 years ago
Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo
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Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

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1\ miles = \frac{1}{41}\ gallons

Now find out for the  617.3 miles.

Thus

617.3\ miles = \frac{617.3}{41}\ gallons

617.3\ miles = 15.1\ gallons

617.3\ miles = 15\ gallons\ (Approx)

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

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