Keith drove 436 miles using 16 gallons of gas at this rate how many miles would he drive using 14 gallons of gas

Mathematics

1 answer:

KengaRu [80]3 years ago

8 0

This Question is related to Direct Proportionality

Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas

Number of Miles ∝ Gallons of Gas

Given Keith with 16 Gallons of Gas Drove 436 Miles

⇒ Keith with 1 Gallon of Gas would Drive - $\frac{436}{16}$ Miles

⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :