write an equation given linear situation.

Jace was given a box of assorted chocolates for his birthday. Each night, Jace treated himself to some chocolates. Jace ate 3 chocolates each night and after 2 nights, there were 12 chocolates remaining in the box. Write an equation for the function C(t), representing the number of chocolates remaining in the box t days after Jace’s birthday.

Respuesta :

Answer:

[tex]C(t) = 3t - 2 = 12[/tex]

Step-by-step explanation:

The equation of the remaining chocolates is required.

The required equation is [tex]C(t)=-3t+18[/tex]

The rate at which chocolates are eaten is 3 per night.

After two nights the number of remaining chocolates were 12.

So, the ordered pair is [tex](2,12)[/tex]

t = the number of days

c = Number of chocolates in the box initially.

The equation will be

[tex]C(2)=-3t+c\\\Rightarrow 12=-3\times 2+c\\\Rightarrow c=12+6\\\Rightarrow c=18[/tex]

Total number of chocolates in the boxes is 18.

The required equation is [tex]C(t)=-3t+18[/tex]

Learn more:

https://brainly.com/question/11897796

https://brainly.com/question/2263981