Clara is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Clara's body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 236.5 223.73 211.65 200.22 189.41 Heidi was administered 300 mg of the same medicine. The amount of medicine in her body f(t) after time t is shown by the equation below: f(t) = 300(0.946)t Which statement best describes the rate at which Clara's and Heidi's bodies eliminated the medicine? Clara's body eliminated the antibiotic faster than Heidi's body. Clara's body eliminated the antibiotic at the same rate as Heidi's body. Clara's body eliminated the antibiotic at half of the rate at which Heidi's body eliminated the antibiotic. Clara's body eliminated the antibiotic at one-fourth of the rate at which Heidi's body eliminated the antibiotic.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Clara is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Clara's body after time t:
| t (hours) | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| f(t) (mg) | 236.5 | 223.73 | 211.65 | 200.22 | 189.41 |
Heidi was administered 300 mg of the same medicine. The amount of medicine in her body f(t) after time t is shown by the equation below:
f(t) = 300(0.946)t
Which statement best describes the rate at which Clara's and Heidi's bodies eliminated the medicine?
Clara's body eliminated the antibiotic faster than Heidi's body. Clara's body eliminated the antibiotic at the same rate as Heidi's body. Clara's body eliminated the antibiotic at half of the rate at which Heidi's body eliminated the antibiotic. Clara's body eliminated the antibiotic at one-fourth of the rate at which Heidi's body eliminated the antibiotic.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
