Question
A baker has already made 10 cakes . She can make the same number of cakes each hour , which she does for 5 hours. Sketch the graph of the relationship between the number of cakes made and time
Hint:
Use slope – intercept form
The correct answer is: end point of the graph is (5 , 60).
SOL – Let no of cakes made = y
Time taken = y hours
Acc. to the question, a baker has already made 10 cakes
When time, x = 0, no of cakes, y = 10
y – intercept, c = 10
We know that slope is given by rate of change.
And it is given that she can make 10 cakes per hour.
Slope of the line = 10
Using slope – intercept form, equation of line is y = mx + c
y = 10x + 10
Also, she made cake for 5 hours i.e., x = 5
y = 10(5) + 10
= 50 + 10 = 60
So, end point of the graph is (5 , 60).
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