Question

find the x and y - int for the equation - 3x + 5y = 30 and choose the correct graph
6.) most animals give birth during a general time of year. this is because animals naturally have their young will be born at the time of year when there will be an adequate food supply. the number of live births of a jackrabbit native to california over the course of year x. based on which of the following would be an appropriate conclusion?
a) in general, rabbits give birth during the spring months.
b) in general, rabbits give birth during the summer months.
c) in general, californian jackrabbits give birth during the spring months.
d) in general, californian jackrabbits give birth during the summer months.

Explanation:

1. For the equation \(-3x + 5y=30\) to find x - intercept and y - intercept:

Step1: Find the x - intercept

Set \(y = 0\) in the equation \(-3x+5y = 30\). Then \(-3x+5\times0=30\), which simplifies to \(-3x=30\). Solving for \(x\), we get \(x=\frac{30}{-3}=- 10\). So the x - intercept is \((-10,0)\).

Step2: Find the y - intercept

Set \(x = 0\) in the equation \(-3x + 5y=30\). Then \(-3\times0+5y=30\), which simplifies to \(5y=30\). Solving for \(y\), we get \(y=\frac{30}{5}=6\). So the y - intercept is \((0,6)\).

The graph that has x - intercept \((-10,0)\) and y - intercept \((0,6)\) is option B.

2. For the question about the number of live births of Californian jackrabbits:

Spring months are typically March (M), April (A), and May (M). Looking at the bar - chart, the number of live births of Californian jackrabbits is highest in March, April and May.

Answer:

C. In general, Californian jackrabbits give birth during the spring months.