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Marrrta [24]
2 years ago
8

A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping. The total cost for a large pizza is given by the equat

ion C=2t+8, where t is the number of toppings. Graph the equation for t between 0 and 5 toppings, and explain the meaning of the slope and y-intercept.

Mathematics
2 answers:
Leni [432]2 years ago
7 0
Slope is the rise and run of a point on the graph to the other 
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept

(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)
Elanso [62]2 years ago
6 0
<h2>Answer with explanation:</h2>

The total cost for a large pizza is given by the equation:

                            C=2t+8

where  t is the number of toppings.

Now, when t=0 we have:

         C=8

when t=1 we  have:

          C=10

when t=2 we have:

         C=12

when t=3 we have:

             C=14

when t=4 we have:

           C=16

when t=5 we have:

               C=18

i.e. the graph of this equation is the ordered pair:

  (0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)

  • Now, the slope of this function means the cost of each topping.
  • and the y-intercept represents the cost of the pizza when there are no toppings.

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Tad and Janice are installing new wood floors in a house. Tad can install 144 square feet of flooring in three hours. Janice can
solong [7]

Answer:

1.) How many square feet of flooring can Tad install in eight hours? 384 square feet

2.) How many square feet of flooring can Janice install in five hours? 480 square feet

3.) If they each work for 12 hours, how many square feet of flooring can they install? 1,728 square feet.

I hope i helped alot :)

4 0
2 years ago
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The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost
LekaFEV [45]
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60
5 0
2 years ago
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A ball is thrown upward and outward from a height of 77 feet. the height of the​ ball, f(x), in​ feet, can be modeled by f left
Oksi-84 [34.3K]
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x), 
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft

b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.


 c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
6 0
2 years ago
Emilce pide 5 platos por semana para almorzar en la oficina. El menú ofrece 5 opciones diferentes. De cuantas maneras puede real
MrRissso [65]

Answer:

120 different ways

Step-by-step explanation:

For the first lunch, Emilce has 5 options to choose,

In the second lunch, now she has only 4 options, as one was already chosen.

Then, in the third lunch, she has 3 options.

In the fourth lunch, she has 2 options.

In the last lunch, she has just 1 option.

So, the number of different ways she can order her lunches in the week is:

5 * 4 * 3 * 2 * 1 = 120

She can order in 120 different ways.

5 0
2 years ago
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0
2 years ago
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