write linear functions to solve word problems - Tamir has already walked 6 kilometers this week, plus he plans to walk 1 kilometer during each trip to school. How many trips will Tamir have to make in all to walk a total of 10 kilometers? Write and solve an equation to find the answer.

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

STEP 1: Recall what is a linear function

STEP 2: Recall how to write a linear function from a word problem

STEP 3: Write the linear equation

Tamir has to walk 10 km, so let us take that as the y-intercept.

He walks one km per day so let us take the slope m as 1

Plugging in these values in the slope-intercept form we get

y = x + 6

STEP 4: Recall on how to solve for x

The total number of kilometres travelled by Tamir is 10, so plugging in y = 10

we get 10 = x + 6

x = 4

So, Tamir will have to make in 4 trips to school to walk 10 km.