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ivolga24 [154]
3 years ago
13

The function g is defined by g(x)=ax−7, where a is a constant. Find a, if the graph of g passes through the point ( 1/3,−2).

Mathematics
1 answer:
sattari [20]3 years ago
7 0

Answer:

a = 15

Step-by-step explanation:

g(x) is the same thing as "y".  Our point gives us an x and y value, so we will sub those into the equation and solve for a:

-2 = a(1/3) - 7 and

-2 = 1/3a - 7 and

5 = 1/3a so

a = 15

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\large \boxed{\$1200.00}

Step-by-step explanation:

              Let the office charge  = x

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Solve for x

\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}

Check:

\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}

OK.

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3 years ago
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