Lilly wants to determine the association between her deposits and her savings account balance. She found the equation y = 75x + 100 for the line of best fit. The independent variable, x, is deposits and the dependent variable, y, is account balance. What does the slope mean in this context?
Responses
A The starting savings account balance is $75.The starting savings account balance is $75.
B The account balance increases by an additional $75 for each deposit.
The account balance increases by an additional $75 for each deposit.
C The starting savings account balance is $100.The starting savings account balance is $100.
D The account balance increases by an additional $100 for each deposit.
A doctor collected data to determine the association between age of an infant and its weight. She modeled the equation y = 1.25x + 7 for the line of best fit. The independent variable, x, is time in months and the dependent variable, y, is weight in pounds. What does the y-intercept mean in this context?
Responses
A The infant's weight increases by an additional 7 pounds for each month.The infant's weight increases by an additional 7 pounds for each month.
B The infant's weight increases by an additional 1.25 pounds for each month.
The infant's weight increases by an additional 1.25 pounds for each month.
C The infant's starting weight is 1.25 pounds.The infant's starting weight is 1.25 pounds.
D The infant's starting weight is 7 pounds.
Its not right it is : The infant's starting weight is 7 pounds.
A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x + 12
for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the y-intercept mean in this context?
Responses
A The sunflower's starting height is 12
foot.The sunflower's starting height is 1 2 foot.
B The sunflower's height increases by an additional 1 foot each week.The sunflower's height increases by an additional 1 foot each week.
C The sunflower's height increases by an additional 12
foot each week.The sunflower's height increases by an additional 1 2 foot each week.
D The sunflower's starting height is 1 foot.
A The sunflower's starting height is 12 feet.
An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment.
If the total time, y, to process a customer's purchase is two minutes and 6 seconds, how many items, x, are being purchased?
Responses
A 43 items
B 40 items
C 27 items
D 31 items
Anna bought 31 items at the grocery store. There was a glitch in the computer system that caused the processing of the payment to take longer than usual. If the total time for Anna's transaction took 2 minutes, how much time did the processing of the payment (p) take?
Responses
A 45 seconds
B 60 seconds
C 50 seconds
D 58 seconds
For the first question:
- Time to scan each item = 2 seconds
- Time to process payment = 40 seconds
- Total time to process purchase = 2 minutes and 6 seconds = 126 seconds
Let's assume x is the number of items purchased. Then, the time to scan the items would be 2x seconds. Adding the time to process payment, we get:
2x + 40 = 126
2x = 126 - 40
2x = 86
x = 43
Therefore, the answer is option A: 43 items.
For the second question:
- Total time for Anna's transaction = 2 minutes = 120 seconds
Let's assume p is the time taken to process the payment. Then, we can set up the following equation:
2p + 31 * 2 = 120
2p = 120 - 62
2p = 58
p = 29
Therefore, the answer is option D: 58 seconds.
Jessica was trying to determine if her friends that had a two story house also had a minivan. She surveyed her classmates and the relative frequencies are shown in the table. Do her friends that live in two story houses also have minivans? Explain.
Responses
A Yes, the relative frequency is less than 50%.Yes, the relative frequency is less than 50%.
B No, the relative frequency is more than 50%.No, the relative frequency is more than 50%.
C Yes, the relative frequency is more than 50%.Yes, the relative frequency is more than 50%.
D No, the relative frequency is less than 50%