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agasfer [191]
3 years ago
14

Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

Total cost of the trip = 243 + 72x

Step-by-step explanation:

Cost of airfare = $243

Amount spent per day = $72

Which expression can he use to help him find the cost of the trip?

Let

x = number of days spent in Alaska

Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)

= 243 + (72 * x)

= 243 + 72x

Total cost of the trip = 243 + 72x

If he spent 4 days on the trip

Total cost of the trip = 243 + 72x

= 243 + 72(4)

= 243 + 288

= $531

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Answer:

y = -1/4x + 2.5

or

y = -1/4x + 5/2

Step-by-step explanation:

First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.

1 = -1/4(6) + b

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4/4 + 6/4 = 10/4

10/4 = b

simplify: 5/2 or 2.5 = b

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y = -1/4x + 2.5

or

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Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

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2

]

Substituting

[

E

q

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1

]

in

[

E

q

.

2

]

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x

+

4

(

−

3

x

+

4

)

=

−

6

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x

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x

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Solving for

y

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x

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−

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[

E

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1

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x

=

2

and

y

=

−

2

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