Question

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

Answer 1

Miguel: d = 23t + 10

Gabby: d = 28t

Explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t