The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours a. Write the equation that relates d and t. b. How many miles would it travel in 5 hours?

Why is 1 + 7/x = y not a linear equation?

Consider an equation to explain the Academic Performance of students (AP) presented in equation 1.3. In the equation, S, T and A refer to the number of hours the student studies (S), the number of textbook the student buys (T) and class attendance (A). AP = 4.32 + 0.280S + 0.0174A + 0.00024T + µ (1.1) (0.32) (0.035) (0.0041) (0.00054) N = 209, R2 = 0.283 Using equation 1.1, test the hypothesis that T, the number of textbooks the student buys has no effect on Academic Performance (AP), against the alternative that it has a positive effect at the 5% significance level. At the 95 percent confidence interval, test the hypothesis that class attendance by the student has no effect on the student's academic performance.

What is the best equation for the following scenario? A mountain climber starts at the bottom of a mountain and climbs at a rate of 20 feet per hour. What equation represents his rate of climbing? x= 10y y= 10x +20 y=20x +10 y=20x 10y= 20x

Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters y to gallons x.Then use the model to find the numbers of liters in 5 gallons and 25 gallons.

This can be modeled by the equation y=0.498x + 3.48 where x is the average daily temperature in °F and y is the average amount of electricity consumed in kilowatt-hours (kWh). 8) Households consume much more electricity when the weather is warmer: Temperature (F) Electricity (kWh) 55 31.1 59 33.1 71 37.9 44 77 41.5 80 44.3 40 82 44.3 55 60 65 70 75 8O 8S Temperature (°F) a) What does the y-intercept of this function represent? b) Using the model, how much electricity would be consumed if the average daily temperature was 63°F? Round your answer to the nearest kilowatt-hour. Electricity (kWh)

7. Tom and Mary have invested in a joint partnership. The total value of the investment is $240 000. Tom has invested 24 times the amount that Mary has invested. Let x be the amount of Tom's investment. Let y be the amount of Mary's investment. Which equation listed below expresses the relationship between x and y?

Please help me solve this and I will gladly rate you! Angelina has a recipe for chocolate cookies. She uses 2 1/2 cups of flour to make 4 dozen cookies. Luke will follow the same recipe. He will make D dozen cookies using F cups of flour. What equation represents the relationship between D and F?

I like to take in account how much I’m going to set aside for savings that month as well as calculate my outgoing for my bills for the month. I would like to save $400 per month and $1000 for bills. What is my total savings after 12 months? Can you write it in the form  y = ax + b  where a and b are some constants and y and x are the variables?  What will y and x represent? what is the total savings y after x months?