Question

A family swimming pool holds 60m^3 of water. The function below gives the cubic meters of water in the pool, taking into account water lost to evaporation over x days. How much water does the pool have after 7 days? f(x)=60−0.18x

a) 48.74 m^3
b) 54.06 m^3
c) 54.60 m^3
d) 61.26 m^3

Answer 1

After inserting the value of x = 7 into the given function and performing the calculation correctly, none of the provided options match the result of 58.74 m^3. There appears to be an error in the question or the provided options.

Step-by-step explanation:

To find out how much water is left in the pool after 7 days, we need to substitute x = 7 into the function f(x) = 60 - 0.18x. Doing the calculation:

f(7) = 60 - 0.18(7) = 60 - 1.26 = 58.74 m3.

However, we made an error in this calculation, as 60 - 1.26 is actually 58.74 m3, not one of the provided options. After re-evaluating the arithmetic, we should perform the calculation again properly:

f(7) = 60 - 0.18(7) = 60 - 1.26 = 58.74 m3.

This error leads us to realize that there seems to be a mistake either within the question or the provided options, as none of them match the correct calculation.