Answer:
The given option A and D are correct
Step-by-step explanation:
Given: The equation y = 45x+38 shows the Sara bakes during the same hours. ; where y is the number of cookies and x is the number of hours. ......[1]
Option A :
It is given from the graph that at the start of the 5 hours
Liz has baked 220 cookies.
To find the number of cookies that Sara has baked for 5 hours.
Substitute the value of x =5 in [1];
Sara has baked 263 cookies in 5 hours,
therefore, we have;
Therefore, sara had baked more cookies at the start of the 5 hours than Liz.
Hence the option A is correct.
Option C
For Liz
First find the slope:
here, slope represents the cookies baked each hour.
It is given by :
where m is the slope.
From the graph we have the points (0, 19) and ( 1, 179)
then, substitute these in the slope formula:

Therefore, the Liz bakes 40 cookies each hour.
Therefore, Option C is incorrect.
Option D
Since, the number of cookies baked each hour is equal to the slope of the linear equation [1]
therefore, slope = 45 cookies/hour
Hence, the Sara bakes 45 cookies each hour.
Therefore, the option D is correct.
Option B
As you can see that
Liz bakes 40 cookies each hour and
Sara bakes 45 cookies each hour
Therefore, the given statement in option B: Liz makes more cookies each hour than Sara is incorrect