Question

1. which answer choice represents a person burning 90 calories by climbing 18 flights of stairs? a. calories burned per flight of stairs climbed number of flights of stairs climbed, f number of calories burned, c 1 5 3 15 5 25 7 35 b. c = f + 5, where c represents the number of calories burned and f represents the number of flights of stairs climbed c. calories burned per flight of stairs climbed (graph with f on x - axis, c on y - axis, line going up) d. a person who climbs 5 flights of stairs will burn 1 calorie.

Explanation:

Step1: Analyze Option A

For Option A, check the relationship between \( f \) (flights) and \( c \) (calories). From the table, when \( f = 1 \), \( c = 5 \); \( f = 3 \), \( c = 15 \). The rate is \( \frac{c}{f}=\frac{5}{1} = 5 \), \( \frac{15}{3}=5 \), so the formula is \( c = 5f \). For \( f = 18 \), \( c = 5\times18 = 90 \). Let's check other options to be sure.

Step2: Analyze Option B

For Option B, the formula is \( c=f + 5 \). For \( f = 18 \), \( c=18 + 5=23
eq90 \), so B is wrong.

Step3: Analyze Option C

For Option C, the graph: when \( f = 1 \), \( c = 18 \) (from the point (1,18)). The rate is \( \frac{c}{f}=18 \). For \( f = 18 \), \( c=18\times18 = 324
eq90 \), so C is wrong.

Step4: Analyze Option D

Option D says 5 flights burn 1 calorie, so rate is \( \frac{1}{5} \) calorie per flight. For 18 flights, \( c=\frac{1}{5}\times18 = 3.6
eq90 \), so D is wrong.

Answer:

A. Calories Burned per Flight of Stairs Climbed (with the table where \( c = 5f \) and for \( f = 18 \), \( c = 90 \))