+472 Use the slope and y-intercept to graph the equation.
11.) William has been measuring his height. The first time he was 5 feet tall and after one year he was 5.1
feet tall.
a. If the height continues to grow at this rate, determine the function that represents his height growth.
b. Graph the equation.
12.) Bobby fills a water tank at the rate of 0.12 mL in every minute. The tank had 1.08 mL before he
started filling the tank.
a. Determine the equation that represents the function.
b Graph the equation.
13.) Julia has been measuring the length of her baby’s hair. The first time it was 6 cm long and after one
month it was 2 cm longer.
a. If the hair continues to grow at this rate, determine the function that represents the hair growth.
b. Graph the equation.
14.) A salesperson receives a base salary of $35,000 and a commission of 10% of
the total sales for the year.
a. Write a linear model that shows the salesperson’s total income
based on total sales of k dollars.
b. Graph the equation.
15.) A cell phone plan costs $30 per month for unlimited calling plus
$0.15 per text message.
a. Write a linear model that represents the monthly cost of this cell
phone plan if the user sends t text messages.
b. Graph the equation.
16.) Conner has $25,000 in his bank account. Every month he spends
$500. He does not add money to the account.
a. Write a linear model that shows how much money will be in the
account after x months.
b. Graph the equation.
17.) Paul opens a savings account with $350. He saves $150 per month. Assume
that he does not withdraw money or make any additional deposits.
a. Write a linear model that represents the total amount of money
Paul deposits into his account after m months.
b. Graph the equation.
18.) Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson’s weight after m
months.
b. Graph the equation.
19.) Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm
high. The plant grows 1.5 cm per day.
a. Write a linear model that represents the height of the plant after d days.
b. Graph the equation.
20.) A machine salesperson earns a base salary of $40,000 plus
a commission of $300 for every machine he sells.
a. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
b. Graph the equation.
+128460 12.) Bobby fills a water tank at the rate of 0.12 mL in every minute. The tank had 1.08 mL before he
started filling the tank.
a. Determine the equation that represents the function.
b Graph the equation.
Note that the starting value is 1.08 ml
And every minute the tank increases by .12 ml
So......after one minute we have .12(1) + 1.08 = 1.2 ml
And after two minutes, we have .12(2) + 1.08 = 1.32 ml
etc.
So....let the height at some time = y
And the equation that models this is:
y = .12(t) + 1.08 where t is the time in minutes
Here's the graph.......https://www.desmos.com/calculator/gjtaxm5ow3
Haley.....hold down your mouse value and see the values at various times for t
At t = 0 y = 1.08
At t = 1 y = 1.20
+128460 The rest of these pretty much follow along the lines of 12
13.) Julia has been measuring the length of her baby’s hair. The first time it was 6 cm long and after one
month it was 2 cm longer.
a. If the hair continues to grow at this rate, determine the function that represents the hair growth.
b. Graph the equation.
Let y be the length after time t and we have
y = 2t + 6
at t = 0, y = 6
at t = 1, y = 8
etc.
Here's the graph........https://www.desmos.com/calculator/dyhvt1ypjf
+128460 Here's the equations and graphs for the rest of these:
14. y = 35 + .10k the amounts are in thousands ..........https://www.desmos.com/calculator/w8kb2pds5q . y= salesperson's income
15. y = 30 +.15t ....... https://www.desmos.com/calculator/14ndpgvn1j y = total cellphone cost
16. y = 25 - .5x .....again, the amounts are in thousands...... https://www.desmos.com/calculator/ocoazmqoqv y = total in bank account
17. y = 350 + 150m ........https://www.desmos.com/calculator/bkbqzhlgiu y = total in svings acct
18. y = 260 - 4m ......... https://www.desmos.com/calculator/9aodmmrfua y = weight after m months
19. y = 5 + 1.5d ....... https://www.desmos.com/calculator/bzqcsj37qi y = plant height
20. y = 40000 + 300x ......... https://www.desmos.com/calculator/43gpptaiaf y = income
