Jeremy rode his bicycle in a race. he averaged 15 mph and began the race 1 hour ahead of the other riders. the variable d represents jeremy's distance ridden, in miles. the variable t represents the number of hours since the other riders began to race. which equation can be used to determine the distance jeremy rode t hours into the race?

d = 15t + 1

d=15(t+1)

d=15(t−1)

d=15t−1

Step-by-step explanation:

The represents Jeremy's speed, which is 15 miles per hour.

The represents the total number of hours Jeremy rode his bike, including the 1 hour head start he got.  This adds his head start () and the rest of the time he has ridden ().

As mentioned in the problem, represents the total distance in miles that Jeremy rode on his bike.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2