Answer:
She will save $0.45 if she waits until she get home to buy the bicycle.
[tex]\text{ \$0.45}[/tex]Explanation:
Given that;
At California the sales tax is 7.5%
And at Ohio the sales tax is 7%
The cost of the bicycle in both states is;
[tex]\text{ \$89.00}[/tex]Since the price are the same in both states, the difference is only in the amount paid on the sales tax;
[tex]\begin{gathered} 7.5\text{\% - 7\%} \\ =0.5\text{\%} \end{gathered}[/tex]So, the difference in sales tax which is 0.5% is;
[tex]\begin{gathered} d=0.5\text{\% of \$89.00} \\ d=\frac{0.5}{100}\times89 \\ d=0.445 \\ d=\text{ \$0.45} \end{gathered}[/tex]Therefore, she will save $0.45 if she waits until she get home to buy the bicycle.
[tex]\text{ \$0.45}[/tex]