Question

passage 1
students used 2 methods to calculate d, a cars total stopping distance: d is the distance a car travels from the time a driver first reacts to an emergency until the car comes to a complete stop.
in method 1, r is the distance a car travels during a drivers assumed reaction time of 0.75 sec, and b is the average distance traveled once the brakes are applied. method 2 assumes that d = initial speed in ft/sec × 2 sec. table 1 lists r, b, and d for various initial speeds, where d was computed using both methods. figure 1 contains graphs of d versus initial speed for method 1 and method 2.
based on table 1 or figure 1, if the initial speed of a car is 90 mi/hr, d, according to method 2, will be:
a. less than 90 ft.
b. between 95 ft and 150 ft.
c. between 150 ft and 250 ft.
d. greater than 250 ft.

Explanation:

We analyze the data in Table 1 for Method 2. For initial speeds: 20 mph (D=58 ft), 40 mph (D=118 ft), 60 mph (D=176 ft), 80 mph (D=236 ft). As speed increases, D increases. 90 mph is between 80 mph (D=236 ft) and, if we extrapolate, it should be greater than 236 ft? Wait, no—wait, the options: Wait, maybe I misread. Wait, the question is about Method 2. Wait, 80 mph has D=236 ft (Method 2). 90 mph is higher than 80 mph. But the options: Wait, no, maybe the table's Method 2 D values: 20→58, 40→118, 60→176, 80→236. The pattern: from 20 to 40 (20 increase), D increases by 60 (118-58=60); 40 to 60 (20 increase), D increases by 58 (176-118=58); 60 to 80 (20 increase), D increases by 60 (236-176=60). So for 90 mph (10 mph above 80), we can estimate. But the options: A: <90, B: 95-150, C:150-250, D:>250. Wait, 80 mph is 236 ft (Method 2). 90 mph would be more than 236. But 250 is the upper of option C? Wait, no, 236 is less than 250? Wait, no, 236 is less than 250? Wait, 236 <250. Wait, maybe I made a mistake. Wait, the initial speed 80 mph: Method 2 D is 236 ft. 90 mph is higher, so D would be greater than 236, but is 236 between 150 and 250? Yes, 236 is between 150 and 250. Wait, no—wait, 236 is less than 250. Wait, the options: D is greater than 250? No, 236 is less than 250. Wait, maybe the table's Method 2: 80 mph D=236. So 90 mph would be between 236 and, say, if we calculate the rate. Wait, maybe the correct option is C? Wait, no, 236 is in 150-250. Wait, 236 is between 150 and 250. So 90 mph, being higher than 80, would have D greater than 236? No, 236 is already close to 250. Wait, maybe I messed up. Wait, the question is: "Based on Table 1 or Figure 1, if the initial speed of a car is 90 mi/hr, D, according to Method 2, will be:" Options: A. less than 90 ft, B. between 95 ft and 150 ft, C. between 150 ft and 250 ft, D. greater than 250 ft. Wait, 80 mph (Method 2) has D=236 ft. 90 mph is higher than 80 mph, so D should be greater than 236 ft? But 236 is less than 250? Wait, no, 236 is less than 250. Wait, maybe the table's Method 2 D for 80 is 236, so 90 would be more than 236, but 236 is in 150-250. Wait, 236 is between 150 and 250. So 90 mph's D would be between 150 and 250? Wait, no, 236 is already in that range, and 90 is higher, so still in 150-250? Wait, maybe the correct option is C. Wait, let's check the table again. Method 2 D: 20→58, 40→118, 60→176, 80→236. All these are between 58 and 236, which is within 150-250? No, 58 is less than 150. Wait, no, 40 mph is 118 (between 95-150? 118 is between 95 and 150? 95-150: 118 is in that. 60 mph:176 (in 150-250). 80 mph:236 (in 150-250). So 90 mph, being higher than 80, would be in 150-250? Wait, 236 is less than 250, so 90 mph's D would be greater than 236 but less than 250? So between 150 and 250. So option C.

Answer:

C. between 150 ft and 250 ft