4. A dog shelter recorded the number of dogs, d, in their care as well as the pounds of dog food, f, the dogs consumed in a day. The table represents the relationship between the number of dogs, d, and the amount of food they ate, f. Name the independent variable and the dependent variable and explain. Dogs 10 15 20 25 30
Food (lbs) 20 30 40 50 60

5. Use the table in question 4 to write an equation using d and f to illustrate the relationship between the two variables. Be sure to write the dependent variable in terms of the independent variable.

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Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.