Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 30, 2023

Equation to represent tire pressure $y$ (psi) after $x$ months, where initial pressure is 34 psi and pressure decreases by 2 psi per month.
(D) $y=-2x+34$

STEP 1

Assumptions1. The initial pressure in the car tire is34 psi. Each month the tire pressure decreases by psi3. We need to find an equation in slope-intercept form that represents the psi, $y$ , after $x$ months

STEP 2

The slope-intercept form of a linear equation is given by $y = mx + b$ , where $m$ is the slope of the line and $b$ is the y-intercept.

STEP 3

In this problem, the slope, $m$ , represents the rate of change of the tire pressure each month. Since the pressure decreases by2 psi each month, the slope is -2.

STEP 4

The y-intercept, $b$ , represents the initial pressure in the tire, which is34 psi.

STEP 5

Substitute the values of $m$ and $b$ into the slope-intercept form of the equation.
$y = -2x +34$ This equation represents the psi, $y$ , after $x$ months.
The correct answer is () $y=-2x+34$ .

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