Sage is helping her uncle make some ice cream. She wants to start with a batch of strawberry ice cream. The recipe calls for pounds of strawberries, gallons of cream, and gallons of milk. This recipe will make gallons of ice cream. Sage is going to serve some of the ice cream to her friends, and she is hoping that they are delighted with the frozen treat she has made for them. Which equation represents the relationship between c, the number of gallons of cream in Sage’s recipe, and m, the number of gallons of milk in the recipe?
A)c=17/12m
B)c=7/3m
C)c=21/16m
D)c=12/7m
2)
In which situation is the amount of money earned determined by a proportional relationship?
A tour guide at the museum was paid a salary of $1,500 for the entire year.
An editor charged her clients $1.25 per page for editing.
A songwriter was paid a different amount for each song she wrote depending on its popularity.
A dog walker charged her clients a $10 flat-rate monthly fee plus $5 per walk.
3)
Watermelon is sold at a local farmer’s market. The price of a watermelon is $0.60 per pound. For watermelons that weigh over 8 pounds, the seller offers a discount. The first 8 pounds still cost $0.60 a pound, but every pound over 8 pounds costs $0.40 a pound. Which of these statements is correct?
The weight and cost of watermelon is proportional for watermelons that weigh more than 8 pounds.
The weight and cost of watermelon is not proportional for any weights.
The weight and cost of watermelon is proportional for all weights.
The weight and cost of watermelon is proportional for watermelons that weigh 8 pounds or less.
4)
Lester randomly surveyed 200 people from his town, asking whether they will attend the grand opening of his new restaurant. Of the 200 people, 120 say they will attend the grand opening. Of the 4,220 people in his town, how many does Lester expect to attend the grand opening?
2,532
4,100
120
235
Answers
Given : A tour guide at the museum was paid a salary of $1,500 for the entire year.
An editor charged her clients $1.25 per page for editing.
A songwriter was paid a different amount for each song she wrote depending on its popularity.
A dog walker charged her clients a $10 flat-rate monthly fee plus $5 per walk.
To find : In which situation is the amount of money earned determined by a proportional relationship?
Solution:
proportional relationship
y ∝ x
=> y = kx
A tour guide at the museum was paid a salary of $1,500 for the entire year.
this is a fixed amount , no relation
An editor charged her clients $1.25 per page for editing.
=> Total charge = 1.25 ( number of Pages)
proportional relationship
A songwriter was paid a different amount for each song she wrote depending on its popularity.
not proportional
A dog walker charged her clients a $10 flat-rate monthly fee plus $5 per walk.
=> Charge = 10m + 5 not proportional
An editor charged her clients $1.25 per page for editing.
amount of money earned determined by a proportional relationship
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Answer:
Ohm's Law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit. To students of electronics, Ohm's Law (E = IR) is as fundamentally important as Einstein's Relativity equation (E = mc²) is to physicists. E = I x R.