Question

the number of campers who sign up for archery each week is listed in the table. if the relationship is proportional, how many campers will sign up for archery in week 3? enter your answer in the box. table: week 1 - 35 sign - up, 120 total campers; week 2 - 45 sign - up, 150 total campers; week 3 -? sign - up, 130 total campers

Explanation:

Step1: Find the proportion of archery - sign - ups to total campers for Week 1

For Week 1, the number of archery sign - ups is 35 and the total number of campers is 120. The proportion $p_1=\frac{35}{120}=\frac{7}{24}$.

Step2: Assume the proportion is the same for Week 3

For Week 3, the total number of campers is 130. Let the number of archery sign - ups in Week 3 be $x$. Since the relationship is proportional, we have the equation $\frac{x}{130}=\frac{7}{24}$.

Step3: Solve for $x$

Cross - multiply to get $24x = 7\times130$. Then $x=\frac{7\times130}{24}=\frac{910}{24}=\frac{455}{12}\approx37.92$. Since we are dealing with the number of campers, we round to the nearest whole number. So $x = 38$.

Answer:

38