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nikklg [1K]
3 years ago
8

Samantha's hockey team is fundraising for a trip to Europe! They are aerating lawns to raise money. Aerating lawns is a great se

rvice for homeowners because it helps the grass grow new roots and absorb water producing healthier lawns! The team has decided to charge $35/lawn for city-sized lots. The rental cost for two aerating machines is $215. Samantha's team has planned a Saturday to aerate
Write an equation to relate the fund raised, R, in dollars to the number of lawns, l, aerated during the day.
Samantha's team was able to aerate 26 lawns in one day! How much money did they raise?
How much money would the team lose if they were unable to aerate due to weather conditions? Is there any possible way they could avoid this potential loss?
Mathematics
1 answer:
atroni [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the fund raised in dollars be represented by R.

Let the number of lawns aerated during the day be represented by l.

The team has decided to charge $35/lawn for city-sized lots. This means that for l lawns, the fund raised would be

R = 35l

Since they were able to aerate 26 lawns in one day and the rental cost for two aerating machines is $215, then the amount if money that they were able to raise is

(35 × 26) - 215

= 910 - 215 = $695

The amount of money that the team will lose if they were unable to aerate due to weather conditions is the rental cost for two aerating machines which is $215

The only way they could avoid this loss is by taking note of the weather before renting the machine.

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3 0
3 years ago
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The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule wi
bixtya [17]

Answer:

For  f(x)=6(x-5)^2-9   the vertex is: (5, -9)

For  f(x)=9(x+5)^2-6  the vertex is: (-5, -6)

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For  f(x)=6(x+9)^2-5  the vertex is: (-9, -5)

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Step-by-step explanation:

Let's identify the vertex pair (x_v,y_v) from each equation:

A)  f(x)=6(x-5)^2-9  corresponds to x_v=5\,\,\,and\,\,\,y_v=-9 , that is: (5, -9)

B)  f(x)=9(x+5)^2-6  corresponds to x_v=-5\,\,\,and\,\,\,y_v=-6 , that is: (-5, -6)

C)  f(x)=5(x-6)^2+9  corresponds to x_v=6\,\,\,and\,\,\,y_v=9 , that is: (6, 9)

D)  f(x)=6(x+9)^2-5  corresponds to x_v=-9\,\,\,and\,\,\,y_v=-5 , that is: (-9, -5)

E)  f(x)=9(x-5)^2+6  corresponds to x_v=5\,\,\,and\,\,\,y_v=6 , that is: (5, 6)

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