Let's solve the problem step-by-step.
1. Clarissa's sister initially purchased the motorized scooter for [tex]$600.
2. She is making weekly payments of $[/tex]18.75.
3. We need to determine when she has [tex]$150 left to pay.
We start by setting up the equation:
\[ \text{Total Cost} - (\text{Weekly Payment} \times \text{Number of Weeks}) = \text{Amount Left to Pay} \]
Plugging in the known values:
\[ 600 - (18.75 \times x) = 150 \]
This simplifies to:
\[ 600 - 18.75x = 150 \]
Next, let's solve for \( x \):
1. Subtract 150 from both sides of the equation:
\[ 600 - 150 = 18.75x \]
\[ 450 = 18.75x \]
2. Now, divide both sides by 18.75 to isolate \( x \):
\[ x = \frac{450}{18.75} \]
\[ x = 24 \]
So, the correct equation is:
\[ -18.75x + 600 = 150 \]
And the number of weeks it takes Clarissa's sister to have $[/tex]150 left to pay is 24 weeks.
Thus, the correct answer is:
[tex]\[ -18.75 x + 600 = 150 \][/tex]
Clarissa's sister will have $150 left to pay after 24 weeks.
