A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0

2 years ago

ulia spends $3.25 on gas for her lawn mower. She earns $14.00 mowing her neighbor's yard. What is Julia's profit?

ipn [44]

$14.00
- _3.25_
$10.75

3 0

2 years ago

Read 2 more answers

Which is the equation of Line B?

notka56 [123]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

$\frac{1-2}{1-(-3)}=-\frac{1}{4}$

Next, plug either one of the points into the x and y coordinates to solve for b as such:

$2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b$

<u>Our final equation is $y=-\frac{1}{4}x+\frac{5}{4}$ , or the third option.</u>

8 0

2 years ago