Question

what does the number $-0.0067$ in the equation mean in this context? the number of accidents increased by 0.67 per month for every additional 100 drivers in the program. there were 0.67 accidents per month. the number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program. the number of accidents was reduced by 0.67 per month every month. the number of accidents was reduced by 0.67 per month for every additional

Explanation:

The number - 0.0067 likely represents a rate of change related to the number of accidents with respect to the number of drivers. A negative sign indicates a reduction. To interpret - 0.0067 in the context of "per 100 drivers", we can think of it as - 0.0067 * 100=- 0.67, meaning for every additional 100 drivers, the number of accidents is reduced by 0.67 per month. We analyze each option:

• Option 1: Says increased, but the number is negative, so incorrect.
• Option 2: Does not relate to the change with respect to drivers, just a static number of accidents, incorrect.
• Option 3: Matches our interpretation of the negative coefficient (reduction) and the relationship with additional 100 drivers.
• Option 4: Talks about reduction every month, not related to the number of drivers, incorrect.
• Option 5: Seems to have a typo but also does not correctly represent the relationship (missing "100" in the correct context as we derived).

Answer:

C. The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program