Question

Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation

Answer 1

The linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Explanation:

Let 'b' represents the numbers of cakes David bakes in minutes.

Let 'a' represents the time David takes to make 12 cakes

As Dave bakes 12 cakes in 3 minutes.

unit rate = 12/3 = 4 cakes / per minute

• The unit rate can also be treated as a slope as it is just representing the rate of change.

Thus, the linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

VERIFICATION

if a = 3 minuts

then

b = 4(3) = 12 cakes

and

if a = 2 minutes

then

b = 4(2) = 8 cakes

and

if a = 1 minute

then

b = 4(1) = 4 cakes

Thus, the required equation is:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes