91Ó°ÊÓ

Given the equation \(3 x+2 y=12,\) complete the given ordered pairs: $$(2, \quad) (0, \quad) \quad(\quad,-3) \quad(\quad, 0)$$

Sketch the graph of \(d=3 t+4\) using the horizontal axis for \(t\) values and the vertical axis for \(d\) values.

Solve each of the following problems algebraically. Be sure to label what the variable represents. Marina does one third of her homework problems when she comes home, 8 problems just before supper, and the remaining two fifths of the problems after supper. How many homework problems did she have?

Nature experts tell us that crickets can act as an outdoor thermometer because the rate at which a cricket chirps is linearly related to the temperature. At \(60^{\circ} \mathrm{F}\) crickets make an average of 80 chirps per minute, and at \(68^{\circ} \mathrm{F}\) they make an average of 112 chirps per minute. (a) Write an equation relating the average number of chirps \(c\) and the temperature \(t\) (b) What would be the average number of chirps at \(90^{\circ} \mathrm{F}\) ? (c) If you hear an average of 88 chirps per minute, what is the temperature? (d) Sketch a graph of this equation using the horizontal axis for \(t\) and the vertical axis for \(c\) (e) What is the \(t\) -intercept of this graph? What is the significance of this \(t\) -intercept?