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irina1246 [14]
3 years ago
6

create two scenarios of your own that involve relations in real life. Describe the scenarios in detail, including a description

of the two variables involved and data for each of the variables. Then create either a table, a mapping diagram, or a graph to represent the data in each scenario. Include at least three data points in your representation. Use a different way to represent the relation for each of your scenarios.
Mathematics
1 answer:
Lorico [155]3 years ago
7 0
Here's one example.

1) Catering Costs

"celebrations" offers catering services. They charge 30 dollars initially, and 1.5 dollars per person.

a) C representing cost and P representing people. The equation of this relation is C = 1.5p + 30

b)  C   P
    32   1
  33.5  2
    35   3
  36.5  4

(The table can be used to make points)
(p,C)

c) You can rewrite this in standard form.
  
   C = 1.5t + 30
   0 = 1.5t - C + 30
-30 = 1.5t - C
 30 = -1.5t + C

Another example:

2) Transportation.

A car is driving from City A to City B at a constant speed of 80km/h The distance away from both cities is 240km.

a) In which D represents distance in km and T represents time in hours, an equation that can represent the distance away from City B is D = -80t + 240

b) D   t
  160  1
   80   2
    0    3
  
(These can be used to make points)

c) You can rewrite in standard form.

D = -80t + 240
0 = -80t - D + 240
-240 = -80t - D
240 = 80t + D

brainliest?

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William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and
astra-53 [7]
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
14x3=42
34+42=76

So Charmaine is 14
William is 17
4 0
3 years ago
Find a formula for the sum of the first n even positive integers.
melisa1 [442]
So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
{k}^{2}  + k
so let us test the equation
for the first 3 even number there sums will be
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by our equation 3^2+3=12
gave us the same answer so our equation is correct
7 0
3 years ago
What dose 2+7x=5x+14 equal
weqwewe [10]

Answer:

x=6

Step-by-step explanation:

2+7x=5x+14

Subtract 2 from both sides:

2+7x-2=5x+14-2

7x=5x+12

Subtract 5x from both sides:

7x-5x=5x+12-5x

2x=12

Divide both sides by 2:

\frac{2x}{2}=\frac{12}{2}

x=6

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