singingprincess46 singingprincess46
  • 02-12-2019
  • Mathematics
contestada

The table shows how the number of cars, c, depends on the number people, t. How would you write this as an equation?

C T
2 1
3 4
4 7
5 10

t=3c-5 t=3c+5

t=5c+3 t=5c-3

Respuesta :

rani01654 rani01654
  • 08-12-2019

Answer:

t = 3c - 5

Step-by-step explanation:

The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.

Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.

Let the points are (2,1) and (3,4).

So, using two points formula of straight line we get the equation is  

[tex]\frac{t - 4}{4 - 1} = \frac{c - 3}{3 - 2}[/tex]

⇒ t - 4 = 3(c - 3)

⇒ t - 4 = 3c - 9

⇒ t = 3c - 5 (Answer)

Answer Link

Otras preguntas

If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
which city was located nearest the nile river delta
which city was located nearest the nile river delta
which city was located nearest the nile river delta
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
what other areas beside egypt did the new kingdom pharoahs conquer
Which two numbers have a difference of 5 and a product of 3.36???
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
what other areas beside egypt did the new kingdom pharoahs conquer
write words to match the expression. 24- ( 6+3)