what is the equation of the line? d. How tall would storage area or 160 sq ft is 750 per month. ope of 100 sq ft is 90 per month.Th is the x variable? b. What is they variable? What are the two is so sope between the equation of the line? storage

To find the equation of the line, we need to determine the slope and the y-intercept.<br /><br />Step 1: Determine the slope:<br />The slope of a line can be found using the formula: slope = (change in y) / (change in x).<br /><br />In this case, the change in y is the difference between the monthly cost for 160 sq ft and the monthly cost for 100 sq ft. The change in x is the difference between the two storage areas.<br /><br />Change in y = $750 - $90 = $660<br />Change in x = 160 - 100 = 60<br /><br />Slope = $\frac{660}{60} = 11$<br /><br />Step 2: Determine the y-intercept:<br />To find the y-intercept, we can use one of the given points. Let's use the point (100, $90).<br /><br />We can substitute the values of x and y into the equation y = mx + b to solve for b.<br /><br />$90 = 11(100) + b<br />$90 = 1100 + b<br /><br />Solving for b, we get:<br />b = $90 - $1100 = -$1010<br /><br />Step 3: Write the equation of the line:<br />Now that we have the slope and the y-intercept, we can write the equation of the line.<br /><br />y = mx + b<br />y = 11x - 1010<br /><br />Therefore, the equation of the line is y = 11x - 1010.