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Alika [10]
3 years ago
8

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud

ents each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
 Interpret the point of intersection in the context of the problem.
Mathematics
1 answer:
mafiozo [28]3 years ago
4 0
<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145
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Simplify each expression then factor the expression 14-28t-5(7+10t)
ludmilkaskok [199]

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

14 - 28t -35 - 70t

We group like terms to get:

14 -35  - 28t- 70t

We combine similar terms to get:

- 21- 98t

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The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
natulia [17]

Answer:

27.70

Step-by-step explanation:

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Evaluate 4y-3 for y=1
Neko [114]

Answer:

1

Step-by-step explanation:

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8 0
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the admission fee at the amusement park is $3.00 for children and 6.40 fo adults on a certain day 275 people entered the park an
Sonbull [250]
Children=x
Adults=y
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5 0
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Pls help i will give you 30 points asap
Olegator [25]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

y = mx + b

y = 2x + 15

slope(m) = 2 and y int (b) = 15

The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2

example :  

baskets picked in 1 hr :

y = 2(1) + 15

y = 2 + 15

y = 17

baskets  picked in 2 hrs :

y = 2(2) + 15

y = 4 + 15

y = 19

so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.

The y intercept (15) is telling us that they already had 15 baskets to start with.

3 0
3 years ago
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