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11111nata11111 [884]
3 years ago
14

It costs a family of two $25 to go to the state fair, and a family of six $65. Find the equation, rate of change, and initial va

lue of the function that represents this situation?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Family of 2

Cost, C1 = $25

Family of 6

Cost, C2 = $65

Given that 2 points are given above as the following in coordinate form:

A(2,25) and B(6,65)

Rate of change is given as = (y2 - y1)/(x2 - x1)

= (65 - 25)/(6-2)

= 40/4

Therefore,

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

(y - 25)/(65 - 25) = (x - 2)/(6 - 2)

(y - 25)/40 = (x - 2)/4

(y - 25) = 40/4 × (x - 2)

(y - 25) = 10 × (x - 2)

Expanding,

y - 25 = 10x - 20

y = 10x - 20 + 25

y = 10x + 5

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student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −
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Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

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Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

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Step 3 - Solve,

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A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
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Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

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Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

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Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

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