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Whitepunk [10]
3 years ago
8

Sewing patterns recommended buying extra fabric in case of mistakes. Darlene bought 7 yards of fabric, plus 20% extra fabric. Ch

ris bought 4 yards of fabric plus 25% extra. Who bought more fabric. How much more?
Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

Darlene bought more fabric

Darlene bought 3.4 yards more

Step-by-step explanation:

Darlene = 7 yards + 20% extra

= 7 yards + (20% of 7 yards)

= 7 + (20% × 7)

= 7 + (0.2 × 7)

= 7 + 1.4

= 8.4 yards

Chris = 4 yards + 25% of 4 yards

= 4 yards + (25% of 4 yards)

= 4 + (25% × 4)

= 4 + (0.25 × 4)

= 4 + 1

= 5 yards

Darlene bought more fabric

How much more?

Darlene - Chris

= 8.4 yards - 5 yards

= 3.4 yards

Darlene bought 3.4 yards more

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The Ship It Anywhere Company bought a truck for $245,000. According to the company’s accounting department, the truck will depre
Svetradugi [14.3K]

Answer:

1. V(t) = -32500t + 245000

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: V(t) = -32500t + 245000

2. t-intercept: t = 7.5385

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3. Graph in the image attached.

4. The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5. V(8) = -15000

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6. After 3.6 years.

7. Between 3.23 years and 5.63 years.

Step-by-step explanation:

1.

The inicial value is 245,000, and each year the value decreases 32,500, so we can write the equation:

V(t) = -32500t + 245000

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: V(t) = -32500t + 245000

2.

To find the t-intercept we just need to use V(t) = 0 and then find the value of t:

0 = -32500t + 245000

32500t = 245000

t = 7.5385

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3.

The graph of the function is in the image attached.

4.

The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5.

V(8) = -32500*8 + 245000 = -15000

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6.

128000 = -32500t + 245000

32500t = 117000

t = 3.6

After 3.6 years.

7.

62000 = -32500t + 245000

32500t = 183000

t = 5.6308

140000 = -32500t + 245000

32500t = 105000

t = 3.2308

Between 3.23 years and 5.63 years.

5 0
3 years ago
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