Bridge sections expand as the temperature goes up, so a small expansion gap is left between sections when a bridge is built. As the sections expand, the width of the gap gets smaller. Suppose that for some bridge the expansion gap is 16.8 millimeters wide at 10°C and decreases by 0.37 millimeter for every 1°C rise in temperature.
56. If the temperature is 18°C, by how many degrees did the temperature rise? By how much would the width of the gap decrease? What would the new width of the gap be? Round to the nearest tenth of a millimeter.
57. The temperature rises to t°C. Write expressions for the temperature rise, the decrease in the width of the gap, and the new width of the gap
58. Use the expressions from Exercise 57. Write and solve an equation to find the temperature at which the gap decreases to 9.4 millimeters.
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