Question

the temperature in a greenhouse is increasing at a rate of $3^{circ}$f per hour. a gardener began taking measurements of the temperature when it was $51^{circ}$f. what is the equation of the line that models this, if $x$ represents the number of hours and $y$ represents the temperature, in $^{circ}$f, in the greenhouse? answer in slope intercept form. $-3x + y = -51$ $-3x + y = 51$ $y = 3x + 51$ $y = 3x - 51$

Explanation:

Step1: Identify slope and intercept

Slope $m=3$, y-intercept $b=51$

Step2: Use slope-intercept formula

Slope-intercept form: $y = mx + b$
Substitute values: $y = 3x + 51$

Answer:

$y = 3x + 51$