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dybincka [34]
3 years ago
13

What’s the equation in slope-intercept form?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0
You can take any 2 points from the table and calculate the slope, as follows:
                     -2-(-4)        2
m = slope = ---------- = ------ = -1/5
                      -5 - 5       -10
The slope-intercept form is    y = mx + b.  You already know m (which is -1/5), and have several points from which to choose to obtain x and y.  Let's use the given point (-2, -1).

Then    -1 = (-1/5)(-2) + b, or   -1 = 2/5 + b.  Solve for b.

-5 = 2 + 5b,  so  5b = -7, and b = -7/5.

The desired equation is     y = (-1/5)x - 7/5.
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HELP!!!!
VashaNatasha [74]

Step 1: Assign variable for the unknown that we need to find.

Let x be the charge/person who are under age 12

Let y be the charge/person who are over age 12, and

Let z be the charge/person who are adults.

Step 2: Based on the information given write mathematical equation

Statement 1: "A family with 2 kids under age 12, 3 kids over age 12, and 3 adults pays $174 for entrance to the park"

For Under Age 12, 1 kid charge $x, so 2 kids under age 12 charge will be $2x.

For Over Age 12, 1 kid charge $y, so 3 Kids over age 12 charge will be $3y.

For Adults, 1 Adult charge $z, so 3 Adults charge will be $3z

Based on the above statement which mentions the number of person in the family and total cost of $174, we can write our 1st equation as

2x + 3y + 3z = 174 ⇒ 1st Equation

Statement 2: "A mother and father bring their 4 kids under age 12 at a cost of $122"

4 kids under 12 will be charged $4x, & 2 Adults (Mother and father) will be charged $2z, and total cost is given as $122.

Based on the above statement 2, we can write the 2nd equation as

4x + 2z = 122 ⇒ 2nd Equation

Statement 3: A grandmother who brings her teenage granddaughter to the park pays $46.

Grandmother will be considered an adult with teenage granddaughter who need to be considered as kid over age 12.

So we can write the third equation as

y + z = 46 ⇒ 3rd equation.

Step 3: Solve the three equation using substitution method

2x + 3y + 3z = 174 ⇒ 1st Equation

4x + 2z = 122 ⇒ 2nd Equation

y + z = 46 ⇒ 3rd equation

Factoring 3 in the left side of the last two terms of 1st equation we get...

2x + 3(y + z) = 174

Then substituting 46 for y + z we get

2x + 3(46) = 174

2x + 138 = 174 { Subtracting 138 on both sides }

2x +138 - 138 = 174 - 138 {Combining like terms on either side of the equation}

2x = 36 {Dividing 2 on both sides}

2x/2 = 36/2 {Simplifying each fraction}

<em>x = 18</em>

Substituting 18 for x in 2nd equation, 4x + 2z = 122

4(18) + 2z = 122

72 + 2z = 122 {Subtracting 72 on both sides of the equation}

72 + 2z - 72 = 122 - 72 {Combining like terms on both sides of the equation}

2z = 50 {Dividing by 2 on both sides}

2z/2 = 50/2 {Simplifying fraction on both sides of equation}

<em>z = 25</em>

Substituting 25 for z in the 3rd equation y + z = 46

y + 25 = 46 { Subtracting 25 on both sides of the equation }

y + 25 - 25 = 46 - 25 {Combining like terms on either side of the equation}

<em>y = 21</em>

Conclusion:

The cost for an Kid who are under age 12 to enter the theme park = $18

The cost for an Kid who are over age 12 to enter the theme park = $21

<u><em>The cost for an adult to enter the theme park = $25</em></u>

5 0
3 years ago
I need help with this q7
juin [17]

Answer:

Yes, it is a proportional relationship!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The perimeter of a rectangular pool is 306m. If the length of the pool is 87m, what is its width?
s344n2d4d5 [400]

Answer: the width is 66

Step-by-step explanation: see if 87m  is the width then you add it twice  it equals 174 then you subtract it from 306m which equals 132 but since theres two sides you divide it to get 66                Hope this help happy Easter!!  c:

4 0
3 years ago
If x = 2 calculate the value of x squared- x
monitta
Plug the x value which is 2 back to the x and solve.

I gave you two answers because I wasn’t sure if the question was (x^2) - 2 or x^2-2.
Those two functions look similar but is totally different so keep that in mind.

Hope you have a victorious day!

4 0
3 years ago
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
polet [3.4K]

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

3 0
2 years ago
Read 2 more answers
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