Pre-Algebra Examples

$c (480) = 6 + 0.05 t$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Move $480$ to the left of $c$ .

$480 c = 6 + 0.05 t$

Step 1.3

Divide each term in $480 c = 6 + 0.05 t$ by $480$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $480 c = 6 + 0.05 t$ by $480$ .

$\frac{480 c}{480} = \frac{6}{480} + \frac{0.05 t}{480}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $480$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{480 c}{480} = \frac{6}{480} + \frac{0.05 t}{480}$

Step 1.3.2.1.2

Divide $c$ by $1$ .

$c = \frac{6}{480} + \frac{0.05 t}{480}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Simplify each term.

Tap for more steps...

Step 1.3.3.1.1

Cancel the common factor of $6$ and $480$ .

Tap for more steps...

Step 1.3.3.1.1.1

Factor $6$ out of $6$ .

$c = \frac{6 (1)}{480} + \frac{0.05 t}{480}$

Step 1.3.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 1.3.3.1.1.2.1

Factor $6$ out of $480$ .

$c = \frac{6 \cdot 1}{6 \cdot 80} + \frac{0.05 t}{480}$

Step 1.3.3.1.1.2.2

Cancel the common factor.

$c = \frac{6 \cdot 1}{6 \cdot 80} + \frac{0.05 t}{480}$

Step 1.3.3.1.1.2.3

Rewrite the expression.

$c = \frac{1}{80} + \frac{0.05 t}{480}$

Step 1.3.3.1.2

Factor $0.05$ out of $0.05 t$ .

$c = \frac{1}{80} + \frac{0.05 (t)}{480}$

Step 1.3.3.1.3

Factor $480$ out of $480$ .

$c = \frac{1}{80} + \frac{0.05 (t)}{480 (1)}$

Step 1.3.3.1.4

Separate fractions.

$c = \frac{1}{80} + \frac{0.05}{480} \cdot \frac{t}{1}$

Step 1.3.3.1.5

Divide $0.05$ by $480$ .

$c = \frac{1}{80} + 0.00010416 \frac{t}{1}$

Step 1.3.3.1.6

Divide $t$ by $1$ .

$c = \frac{1}{80} + 0.00010416 t$

Step 1.4

Arrange the polynomial to follow the $y = m x + b$ form for slope and y-intercept.

$c = 0.00010416 t + \frac{1}{80}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{1}{80}$ .

$b = \frac{1}{80}$

Step 3

y-intercept in point form.

$(0, \frac{1}{80})$

Step 4