Question

The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in terms of y for hiring a taxi for y kilometers.​

Answer 1

The required expression is:

• y = 0.5x + 3

Please check the attached graph too.

Explanation:

The slope-intercept form of the linear or line function

`y = mx+b`

where

• m is the rate of change or slope

• b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

• y = 0.5x + 3

Please check the attached graph too.