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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