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nekit [7.7K]
3 years ago
12

Shelly has a gift card for her favorite restaurant for $15. She wants to treat a group of her friends sandwiches at the restaura

nt. Sandwiches cost $4.50 each. Write an equation that model the total money Shelly owes if she buys x sandwiches after using the gift card.
Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer: the equation is y = 4.5x - 15

Step-by-step explanation:

Let x represent the total number of sandwiches that shelly bought at her favorite restaurant.

Shelly has a gift card for her favorite restaurant for $15. Sandwiches cost $4.50 each. If she buys a total number of x sandwiches, it means that that the total cost will be 4.5×x = $4.5x

Let y represent the amount of money that she owes after buying x sandwiches. Therefore

y = 4.5x - 15

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A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
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Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

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2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

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<u>The largest area the fence can enclose is </u><u>22500ft².</u>

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