Is it A,B,C,D.... pls explain thank you

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

6 0

C is the answer and the equation to get that answer is 174.99=24.99 + 12.50m . M=months

Stella [2.4K]2 years ago

5 0

$24.99 + $12.50m = Cost for Gym Membership
$24.99 + $12.50m = $174.99

$174.99 = $24.99 + $12.50m
$174.99 - $24.99 = $24.99 - $24.99 - $12.50m
$150.00 = $12.50m
$150.00/$12.50 = $12.50m/$12.50
12 = m

This membership will last 12 months.

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$