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Irina18 [472]
3 years ago
10

Write a linear equation in point-slope form to model the situation below:

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

y - 14.95 = 18.075(x-1)

Step-by-step explanation:

If an internet company charges $14.95 per month and a setup fee, then we can say

1 month = $14.95

If the total cost for 9 months is $159.55

Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)

The equation of a line in point slope form is expresses as

y-y0 = m(x-x0)

Find the slope m

m = 159.55-14.95/9-1

m = 144.6/8

m = 18.075

Substitute m = 18.075 and any of the coordinate in the equation to have;

Using the coordinate (1, 14.95)

y - 14.95 = 18.075(x-1)

Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)

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Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
iren [92.7K]

Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

<h3>Which route is shorter for Maria?</h3>

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

Find out more calculations involving the shorter distance at brainly.com/question/19544173.

#SPJ1

8 0
2 years ago
Given that (-6,2) is on the graph of f(x) find the corresponding point for the function f(1/4x).
Dafna1 [17]
Answer: (-24,2)

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

Work Shown:

The y coordinate stays the same. Only the x coordinate will change.

(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2

7 0
4 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Mkey [24]

Answer:

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Step-by-step explanation:

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3 years ago
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