Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75. If the monthly bill fro 24 HCF is $47.72, what is the monthly bill for 29 HCF?

Thank you

y = mx +b

47.72 = 1.75(24) + b
47.72 - (1.75)(24) = b

solve for b

Then replace m in y = mx + b with 1.75 and the b with your solution from above.

asad

To find the monthly bill for 29 HCF, we can use the given information:

1. The slope of the linear function is 1.75, which means that for every additional HCF used, the monthly bill increases by $1.75.

2. We are given that the monthly bill for 24 HCF is $47.72.

Now, let's calculate the monthly bill for 29 HCF:

1. Calculate the increase in HCF from 24 to 29:
Increase in HCF = 29 HCF - 24 HCF = 5 HCF

2. Calculate the increase in the monthly bill based on the slope:
Increase in bill = Increase in HCF * slope
Increase in bill = 5 HCF * 1.75 = 8.75

3. Calculate the new monthly bill for 29 HCF:
Monthly bill for 29 HCF = Monthly bill for 24 HCF + Increase in bill
Monthly bill for 29 HCF = $47.72 + $8.75
Monthly bill for 29 HCF = $56.47

Therefore, the monthly bill for 29 HCF would be $56.47.

To find the monthly bill for 29 HCF, we can use the linear function with a slope of 1.75. Let's denote the monthly bill as "B" and the amount of water used as "W" in HCF.

We are given that the monthly bill for 24 HCF is $47.72. Plugging these values into the linear equation, we get:

47.72 = 1.75 * 24 + b

We can rearrange this equation to solve for "b," which represents the y-intercept of the linear equation:

47.72 = 42 + b
b = 47.72 - 42
b = 5.72

Therefore, we have the equation for the linear function: B = 1.75W + 5.72

Now, we can substitute W = 29 into the equation to find the monthly bill for 29 HCF:

B = 1.75 * 29 + 5.72
B = 50.75 + 5.72
B = 56.47

Therefore, the monthly bill for 29 HCF is $56.47.