To get y by itself subtract 2x from both sides. The left side becomes 3y=12-2x. Then divide by 3 on both sides to get y by itself. Which you get y=4-(2/3)x

6 0

2 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Elza [17]

Answer:

$L(t)=7600e^{0.2273t}$

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

$P=P_oe^{rt}$

Where:

$P$ is the population after t days.
$P_o$ is the initial population given as 7600
$r$ is the rate of growth
$t$ is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

$P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}$

7 0

3 years ago