the graph shows the distance a microcar travels at its top speed over time. the slope is 40. the speed of…
the graph shows the distance a microcar travels at its top speed over time. the slope is 40. the speed of the car is 40 miles per hour. write an equation for the distance the car travels, y, after x hours.
Answer
Explanation:
Step1: Recall the slope-intercept form
The slope-intercept form of a linear equation is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Step2: Determine the slope and y-intercept
From the problem, the slope ( m ) (which is the speed) is 40. The graph passes through the origin ((0,0)), so the y-intercept ( b = 0 ).
Step3: Substitute ( m ) and ( b ) into the equation
Substituting ( m = 40 ) and ( b = 0 ) into ( y = mx + b ), we get ( y = 40x + 0 ), which simplifies to ( y = 40x ).
Answer:
( y = 40x )