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3 years ago

15

When the Glacier Zone Ice Rink opened, Betsy bought 18 ice-skating lessons during their grand-opening sale. She paid 387 in all.

How much did each lesson cost?

1 answer:

snow_tiger [21]3 years ago

5 0

Answer:

$21.50

Step-by-step explanation:

Paid $387 in all and bought 18 lessons. Divide 387 by 18 to get 21.5, which is equivalent to $21.50.

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Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he don

son4ous [18]

Answer:

b) c + 0.35c − 10

Step-by-step explanation:

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3 years ago

Fantom [35]

Answer:

Step-by-step explanation:

(7-98)(7+98)

= 7^2 - 98^2

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3 years ago

Which of the following situations could be modeled by an exponential function?

Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0

3 years ago

What percent is 88 of 106

Tems11 [23]

What percent is 88 of 106?

88/106

88 ÷ 106 ≈ .83
.83 × 100 = 83
83%

83% is 88 of 106.

4 0

3 years ago

Read 2 more answers

Which of the following quadratic regression equations best fits the data shown below

attashe74 [19]

Let
A (-4,35)
B (-3,20)
C (-2,10)
D (-1,5)
E (0,8)
F (1,10)
G (2,15)
H (3,30)
I (4,48)

using a graph tool

case a) y=2.23x²+1.62x+5.26
see the attached figure N 1

case b) y=4.63x²+0.84x+4.14
see the attached figure N 2

case c) y=0.98x²+3.06x+6.02
see the attached figure N 3

case d) y=3.72x²+2.94x+3.21
see the attached figure N 4

using a <span>Quadratic Regression Calculator
</span>the <span>Best Fit Second-Degree Quadratic Regression is
2.228x</span>²+1.617x+5.255
see the attached figure N 5

therefore

the answer is
case a) y=2.23x²+1.62x+5.26

3 0

3 years ago

Read 2 more answers