Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.

Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.

= 0.032
Put in the formula


Therefore the decrease in the population of the city after t years is represented by
If you see the slope intercept form that’s the y coordinate
Answer:
2500 kg/m³
Step-by-step explanation:
Density of a material is the ratio of mass and volume of that material.
The S.I unit for density is grams per centimeters cubed (g/cm³) or kilograms per meter cubed (kg/m³)
Given density as 2.5 g/cm³ , convert to kg/m³
Formula is;
1g/cm³ = 1000 kg/m³
2.5 g/cm³=? cross-multiply
=2.5×1000 = 2500 kg/m³
Answer:

Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:


1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

Now, we will divide 1800 by 45 to find average rate in laps per hour as:


Therefore, Sebastian's average rate is 40 laps per hour.
The linear model of this case takes the form:
y = a(x-b) + k
<span>The cost of having a package delivered has a base fee of $9.70
this is "k" >>>>> k=9.7 (fixed amount of fee)
THEN
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<span>Every pound over 5 lbs cost an additional $0.46 per pound
that means: 0.46(x-5)
in other words, if the package weighs foe example 9 pounds, then 9-5=4, it will cost 0.46*4 for these 4 extra pounds
Finally we have the linear form of this: C = 0.46 (W - 5) + 9.7
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