Question

Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

Answer 1

y = 23x + 10

y = 28x + 0

Explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0