(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

(d) Describe what the number 30 in Part (c) mean in the context of the situation?

Respuesta :

Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 30[/tex]

Solving (c): What is y when x is 3

Substitute 3 for x in [tex]y = 7x + 30[/tex]

[tex]y = 7*3 + 30[/tex]

[tex]y = 21 + 30[/tex]

[tex]y = 51[/tex]

Solving (d): What does 30 represent

An equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]b = y\ intercept[/tex]

Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]

[tex]b = 30[/tex]

This implies that 30 represents the y intercept