29. The monthly rent for an $\mathbf{8 0 0}$ square foot office is $\$ 975$. For an 1100 square foot office, the rent is $\$ 1125$. Write and solve a linear equation to find the monthly rent for a 1500 square foot office.
0. Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $\$ 7$ If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has.

Step 1 ：First, we need to find the slope (m), which is the change in rent divided by the change in square footage. The slope is calculated as \(m = \frac{\$1125 - \$975}{1100 - 800} = 0.5\).

Step 2 ：Then, we can find the y-intercept (b) by substituting one of the given points into the equation and solving for b. We can use the point (800, \$975). Substituting these values into the equation \(y = mx + b\) gives us \(\$975 = 0.5 * 800 + b\). Solving for b gives us \(b = \$575\).

Step 3 ：Finally, we can use the equation to find the rent for a 1500 square foot office. Substituting \(x = 1500\) into the equation \(y = 0.5x + \$575\) gives us \(y = \$1325\).

Step 4 ：Final Answer: The monthly rent for a 1500 square foot office is \(\boxed{\$1325}\).