Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?

[1 foot = 12 inches; 1 yard = 3 feet]

**A. 0.5 feet **

**B. 1.5 feet **

**C. 3 feet **

**D. 6 feet **

My difficulty here is if iguring out the with or is it not vital to the situation.** **

**THANKS SO MUCH FOR ALL THE EFFORT AND TIME YOU PUT INTO HELPING ME.**

HiylinLink Jun 6, 2019

#1**+1 **

Convert first the cost of 98 /yd³ by the conversion factor that 1 yd³ = 27 ft³.

(98 /yd³) (1 yd³ / 27 ft³) = 3 17/27/ft³

Let x be the width, the volume of the rectangular portion of the driveway is,

V = (8 ft) (1/3 ft) x = 8x/3 ft³

Using the given total cost of the protion,

C = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)

x = 5.99957 ft

Thus, the answer is d. 6 feet.

**D. 6 feet is correct.**

**😏😏**

everythinguniversal9 Jun 6, 2019

#2**+1 **

Thank you alot for your help I starting to get what needs to be thanks for your spent time : )

HiylinLink
Jun 6, 2019

#3**+2 **

This one is a little dificult, Nickolas....

We need to put every thing in terms of yards and then solve for the width

8 ft = 96 in / 36 in = 8/3 yds

4 in = 4/36 = 1/9 yds

So

Length * Height * Width = Total Volume ....so....

L * H * W = Total Volume

(8/3) (1/9) * W =

(8/27) * W

Total cost = Total Volume * Cost per cubic yard

( Note that W will be in terms of yards )

58.07 = [ (8/27] * W * 98

58.07 = W * [8/27] * 98

58.07 = W * [ 784 / 27 ] multiply both sides by 27 / 784

58.07 * [ 27 / 784 ] = W ≈ 1.999 = 2 (yards) = 6 feet

You probably have some questions about this one....it's harder than the others you have submitted

CPhill Jun 6, 2019

#5**+1 **

XD *Nickolas*? But I am very obliged to your contributation to help me understand this concept better : )

HiylinLink
Jun 6, 2019