The boy gives the girl a 30 step head-start. He travels at 7 steps per second and she travels at 4 steps per second. Both start at their house and move toward the tree 100 steps away. Which system best models this situation by containing an equation for his path and an equation for her path? The distance traveled is represented by y and x is the number of steps taken.
A
Incorrect. Because, the 30 step head-start has been given to the boy and not the girl.
B
Correct! Both equations accurately indicate the speed and starting location of the runners.
C
Incorrect. Because, the equation for the boy shows him as starting at the tree instead of at the house. The equation for the girl is correct.
D
Incorrect. Because, the boy's equation does not reflect his speed or his starting distance. The equation for the girl's distance is correct.
Devan and Juan love the lunch combinations at Angelino’s Mexican Restaurant. Combination A contains three tacos and one burrito for $6.05. Combination B contains one enchilada, one taco, and one burrito for $6.30. Combination C contains two enchiladas and two tacos for $8.00. Which systems can best be used to find the cost of each enchilada, each taco, and each burrito?
A
Incorrect. Because the equations indicate that all three combinations contain all three food items.
B
Incorrect. Because the equation for Combination C indicates that it contains all three food items.
C
Correct! The lunch combinations each contain the correct number of items with the correct cost.
D
Incorrect. Because the dollar amounts are not all correctly matched with the combinations.
Bernice and her sister, Loana, drove from their home to the movie theater, driving an average of 50 miles per hour since they were rushing to make the next showing. After the movie, they were able to drive the 15 miles back home at 40 miles per hour. The equation that represents the distance traveled to the theater is y = 50x, where y is their distance from home, in miles, and x is the number of hours driven. Which equation models their distance from home after seeing the movie?
A
Correct! This equation correctly represents Bernice and Loana's initial distance of 15 miles from home and then moving back toward home (so their distance from home is decreasing) at 40 miles per hour.
B
Incorrect. Because this equation indicates that Bernice and Loana were moving at a rate of 15 miles per hour away from home.
C
Incorrect. Because this equation indicates that Bernice and Loana were moving at a rate of 40 miles per hour away from home.
D
Incorrect. Because this equation indicates that Bernice and Loana were moving at a rate of 40 miles per hour away from home.
Jake, Jorge, and Jermaine went clothes shopping during the tax-free weekend before school started. Jake bought 2 pairs of jeans, 3 shirts, and a pair of shoes and spent $161.65. Jorge bought 3 pairs of jeans and 4 shirts and spent $131.85. Jermaine bought one pair of jeans, 3 shirts, and 2 pairs of shoes for a cost of $207.20. If the boys paid the same prices for each clothing item, which system of equations can be used to find the cost of each pair of jeans, j, each shirt, s, and each pair of shoes, p?
A
Correct! Each equation reflects the correct number of items and the total cost.
B
Incorrect. The second equation shows Jorge as buying a pair of shoes when he did not.
C
Incorrect. The total costs for Jake and Jorge have been switched.
D
Incorrect. The third equation shows Jermaine as buying one pair of shoes when he bought two.