Question

first, complete the following table. use only integer values.

x y
0 85
5 135

determine the slope and y-intercept for this relationship. round to the nearest integer for all answers.

m:
b:

using the slope and y-intercept you provided above, write the slope-intercept form equation to represent the relationship.

equation:

use your equation to determine the number of repfols, accurate to the nearest whole number, she will have after 219 weeks.

Explanation:

Step1: Identify y-intercept (b)

The y-intercept is the y-value when $x=0$, so $b=85$.

Step2: Calculate slope (m)

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{135-85}{5-0}=\frac{50}{5}=10$

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$, substitute $m=10$, $b=85$:
$y=10x+85$

Step4: Calculate y at $x=219$

Substitute $x=219$ into the equation:
$y=10(219)+85=2190+85=2275$

Answer:

m: 10
b: 85
Equation: $y=10x+85$
Number of repfols after 219 weeks: 2275