When Lauren left her house in the morning, her cell phone battery was partially charged. The charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t,B=63−7t, where tt is the number of hours since Lauren left her house. What is the xx-intercept of the equation and what is its interpretation in the context of the problem?

Respuesta :

Answer: Intercept of the equation = (9,0)

Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)

Step-by-step explanation:

Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .

To find the x-intercept, put B =0  (as x denoted the independent variable , here independent variable is 't')

[tex]0=63-7t\\\\\Rightarrow\ 7t=63\\\\\Rightarrow\ t=\dfrac{63}{7}\\\\\Rightarrow\ t=9[/tex]

Hence, the x-intercept of the equation = (9,0)

i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)