Respuesta :
Answer:
The number of hours a student should spend on their homework to expect a score of 85 on the quiz.
Step-by-step explanation:
When y = 85, that means Emily scores 85 and she spent 4.54 hours on homework.
What is the linear equation in two variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
What is substitution method?
The substitution method is the algebraic method to solve simultaneous linear equations.
According to the given question.
We have
A linear equation in two variable,
[tex]y = 6.6x + 55...(i)[/tex]
In which x represents hours spent on homework.
And, y represents the expected quiz score.
Substitute, y = 85 in equation (i).
⇒ [tex]85 = 6.6(x) = 55[/tex]
⇒[tex]85 - 55 = 6.6x[/tex]
⇒ [tex]30 = 6.6x[/tex]
⇒ [tex]x = 4.54[/tex]
Hence, when y = 85 means Emily scores 85 and she spent 4.54 hours on homework.
Find out more information about linear equation in two variable here:
https://brainly.com/question/17139602
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