Answer:
Chef Barber will now cook 50 meals first and The new y-intercept will change the result.
Step-by-step explanation:
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Given question is incomplete without options and the information regarding the cooking of two chefs; Find the compete question in attachment.
Options for the question are,
A). Chef Walton will still cook 50 meals first.
B). Chef Barber will now cook 50 meals first.
C). The new y-intercept will have no effect.
D). The new y-intercept will change the results.
Options B and D are the correct options.
Given in the question,
From the picture attached,
So the equation for the total meals 'y' prepared in 'x' hours by chef
Barber will be,
y = 13x + 7
Therefore, duration for 50 meals to be prepared,
50 = 13x + 7
x = 3.62 hours
If Chef Barber prepared 14 meals before dinner service,
Equation for the meals prepared will change to,
y = 13x + 14
New time to prepare for 50 meals,
50 = 13x + 14
x = 2.77 hours
2. From the graph given in the picture,
Slope of the line between two points (0, 4) and (3, 49),
m = [tex]\frac{49-4}{3-0}[/tex]
m = 15
Here, slope of the line defines number of dishes prepared per hour by
Chef Walton.
Chef Walton prepared 4 dishes before the dinner service,
y = 15x + 4
Time taken to prepare 50 meals,
50 = 15x + 4
x = 3.07 hours
Now check the options given,
Option A
"Chef Walton will still cook 50 meals first.
Since, new time taken by Chef Barber (2.77 hours) is less than the time taken by Chef Walton (3.07 hours),
Option A is false.
Option B
"Chef Barber will now cook 50 meals first"
True.
Option C
"The new y-intercept will have no effect"
False.
Option D
"The new y-intercept will change the results"
True.
Therefore, Options B and D will be correct.
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